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Finding the Fourth Proportional to 80,773.34, 111,459.17 and 46,792.78

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Solution

The fourth proportional to 80,773.34, 111,459.17 and 46,792.78 is: 64,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,773.34 : 111,459.17 = 46,792.78 : x
  2. Step 2: Convert to fraction form
    80,773.34/111,459.17 = 46,792.78/x
  3. Step 3: Cross multiply
    80,773.34x = 111,459.17 × 46,792.78
  4. Step 4: Simplify right side
    80,773.34x = 5,215,484,259.13
  5. Step 5: Solve for x
    x = 5,215,484,259.13/80,773.34
  6. Step 6: Final answer
    x = 64,569.38

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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.