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Finding the Fourth Proportional to 94,903.76, 142,372 and 38,774.32

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Solution

The fourth proportional to 94,903.76, 142,372 and 38,774.32 is: 58,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,903.76 : 142,372 = 38,774.32 : x
  2. Step 2: Convert to fraction form
    94,903.76/142,372 = 38,774.32/x
  3. Step 3: Cross multiply
    94,903.76x = 142,372 × 38,774.32
  4. Step 4: Simplify right side
    94,903.76x = 5,520,377,487.04
  5. Step 5: Solve for x
    x = 5,520,377,487.04/94,903.76
  6. Step 6: Final answer
    x = 58,168.16

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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.