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Finding the Fourth Proportional to 55,962.57, 77,228.87 and 30,812.97

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Solution

The fourth proportional to 55,962.57, 77,228.87 and 30,812.97 is: 42,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,962.57 : 77,228.87 = 30,812.97 : x
  2. Step 2: Convert to fraction form
    55,962.57/77,228.87 = 30,812.97/x
  3. Step 3: Cross multiply
    55,962.57x = 77,228.87 × 30,812.97
  4. Step 4: Simplify right side
    55,962.57x = 2,379,650,700.38
  5. Step 5: Solve for x
    x = 2,379,650,700.38/55,962.57
  6. Step 6: Final answer
    x = 42,522.18

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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.