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Finding the Fourth Proportional to 55,802.78, 83,704.17 and 24,631.82

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Solution

The fourth proportional to 55,802.78, 83,704.17 and 24,631.82 is: 36,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.78 : 83,704.17 = 24,631.82 : x
  2. Step 2: Convert to fraction form
    55,802.78/83,704.17 = 24,631.82/x
  3. Step 3: Cross multiply
    55,802.78x = 83,704.17 × 24,631.82
  4. Step 4: Simplify right side
    55,802.78x = 2,061,785,507.01
  5. Step 5: Solve for x
    x = 2,061,785,507.01/55,802.78
  6. Step 6: Final answer
    x = 36,947.72

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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.