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Finding the Fourth Proportional to 74,458.32, 102,757.32 and 42,631.44

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Solution

The fourth proportional to 74,458.32, 102,757.32 and 42,631.44 is: 58,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458.32 : 102,757.32 = 42,631.44 : x
  2. Step 2: Convert to fraction form
    74,458.32/102,757.32 = 42,631.44/x
  3. Step 3: Cross multiply
    74,458.32x = 102,757.32 × 42,631.44
  4. Step 4: Simplify right side
    74,458.32x = 4,380,692,522.14
  5. Step 5: Solve for x
    x = 4,380,692,522.14/74,458.32
  6. Step 6: Final answer
    x = 58,834.16

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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.