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Finding the Fourth Proportional to 83,318.40, 114,978.96 and 45,593.28

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Solution

The fourth proportional to 83,318.40, 114,978.96 and 45,593.28 is: 62,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.40 : 114,978.96 = 45,593.28 : x
  2. Step 2: Convert to fraction form
    83,318.40/114,978.96 = 45,593.28/x
  3. Step 3: Cross multiply
    83,318.40x = 114,978.96 × 45,593.28
  4. Step 4: Simplify right side
    83,318.40x = 5,242,267,917.39
  5. Step 5: Solve for x
    x = 5,242,267,917.39/83,318.40
  6. Step 6: Final answer
    x = 62,918.49

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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.