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Finding the Fourth Proportional to 74,038.38, 102,148.11 and 42,184.86

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Solution

The fourth proportional to 74,038.38, 102,148.11 and 42,184.86 is: 58,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038.38 : 102,148.11 = 42,184.86 : x
  2. Step 2: Convert to fraction form
    74,038.38/102,148.11 = 42,184.86/x
  3. Step 3: Cross multiply
    74,038.38x = 102,148.11 × 42,184.86
  4. Step 4: Simplify right side
    74,038.38x = 4,309,103,719.61
  5. Step 5: Solve for x
    x = 4,309,103,719.61/74,038.38
  6. Step 6: Final answer
    x = 58,200.95

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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.