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Finding the Fourth Proportional to 82,918.80, 124,241.40 and 47,797.20

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Solution

The fourth proportional to 82,918.80, 124,241.40 and 47,797.20 is: 71,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,918.80 : 124,241.40 = 47,797.20 : x
  2. Step 2: Convert to fraction form
    82,918.80/124,241.40 = 47,797.20/x
  3. Step 3: Cross multiply
    82,918.80x = 124,241.40 × 47,797.20
  4. Step 4: Simplify right side
    82,918.80x = 5,938,391,044.08
  5. Step 5: Solve for x
    x = 5,938,391,044.08/82,918.80
  6. Step 6: Final answer
    x = 71,616.94

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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.