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Finding the Fourth Proportional to 19,683,959.20, 29,525,938.80 and 19,241,591.20

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Solution

The fourth proportional to 19,683,959.20, 29,525,938.80 and 19,241,591.20 is: 28,862,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683,959.20 : 29,525,938.80 = 19,241,591.20 : x
  2. Step 2: Convert to fraction form
    19,683,959.20/29,525,938.80 = 19,241,591.20/x
  3. Step 3: Cross multiply
    19,683,959.20x = 29,525,938.80 × 19,241,591.20
  4. Step 4: Simplify right side
    19,683,959.20x = 568,126,044,185,818.50
  5. Step 5: Solve for x
    x = 568,126,044,185,818.50/19,683,959.20
  6. Step 6: Final answer
    x = 28,862,386.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.