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Finding the Fourth Proportional to 82,962.31, 114,488.03 and 47,151.40

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Solution

The fourth proportional to 82,962.31, 114,488.03 and 47,151.40 is: 65,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,962.31 : 114,488.03 = 47,151.40 : x
  2. Step 2: Convert to fraction form
    82,962.31/114,488.03 = 47,151.40/x
  3. Step 3: Cross multiply
    82,962.31x = 114,488.03 × 47,151.40
  4. Step 4: Simplify right side
    82,962.31x = 5,398,270,897.74
  5. Step 5: Solve for x
    x = 5,398,270,897.74/82,962.31
  6. Step 6: Final answer
    x = 65,068.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.