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Finding the Fourth Proportional to 82,897.53, 114,398.57 and 45,171.78

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Solution

The fourth proportional to 82,897.53, 114,398.57 and 45,171.78 is: 62,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,897.53 : 114,398.57 = 45,171.78 : x
  2. Step 2: Convert to fraction form
    82,897.53/114,398.57 = 45,171.78/x
  3. Step 3: Cross multiply
    82,897.53x = 114,398.57 × 45,171.78
  4. Step 4: Simplify right side
    82,897.53x = 5,167,587,036.35
  5. Step 5: Solve for x
    x = 5,167,587,036.35/82,897.53
  6. Step 6: Final answer
    x = 62,337.04

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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.