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Finding the Fourth Proportional to 62,142, 93,199.92 and 20,025.92

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Solution

The fourth proportional to 62,142, 93,199.92 and 20,025.92 is: 30,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,142 : 93,199.92 = 20,025.92 : x
  2. Step 2: Convert to fraction form
    62,142/93,199.92 = 20,025.92/x
  3. Step 3: Cross multiply
    62,142x = 93,199.92 × 20,025.92
  4. Step 4: Simplify right side
    62,142x = 1,866,414,141.93
  5. Step 5: Solve for x
    x = 1,866,414,141.93/62,142
  6. Step 6: Final answer
    x = 30,034.66

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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.