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Finding the Fourth Proportional to 74,355.32, 102,595.20 and 42,534.92

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Solution

The fourth proportional to 74,355.32, 102,595.20 and 42,534.92 is: 58,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,355.32 : 102,595.20 = 42,534.92 : x
  2. Step 2: Convert to fraction form
    74,355.32/102,595.20 = 42,534.92/x
  3. Step 3: Cross multiply
    74,355.32x = 102,595.20 × 42,534.92
  4. Step 4: Simplify right side
    74,355.32x = 4,363,878,624.38
  5. Step 5: Solve for x
    x = 4,363,878,624.38/74,355.32
  6. Step 6: Final answer
    x = 58,689.53

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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.