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Finding the Fourth Proportional to 40,792.84, 61,177.02 and 14,494.12

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Solution

The fourth proportional to 40,792.84, 61,177.02 and 14,494.12 is: 21,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,792.84 : 61,177.02 = 14,494.12 : x
  2. Step 2: Convert to fraction form
    40,792.84/61,177.02 = 14,494.12/x
  3. Step 3: Cross multiply
    40,792.84x = 61,177.02 × 14,494.12
  4. Step 4: Simplify right side
    40,792.84x = 886,707,069.12
  5. Step 5: Solve for x
    x = 886,707,069.12/40,792.84
  6. Step 6: Final answer
    x = 21,736.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.