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Finding the Fourth Proportional to 83,041.43, 114,564.11 and 51,154.97

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Solution

The fourth proportional to 83,041.43, 114,564.11 and 51,154.97 is: 70,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041.43 : 114,564.11 = 51,154.97 : x
  2. Step 2: Convert to fraction form
    83,041.43/114,564.11 = 51,154.97/x
  3. Step 3: Cross multiply
    83,041.43x = 114,564.11 × 51,154.97
  4. Step 4: Simplify right side
    83,041.43x = 5,860,522,781.53
  5. Step 5: Solve for x
    x = 5,860,522,781.53/83,041.43
  6. Step 6: Final answer
    x = 70,573.49

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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.