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Finding the Fourth Proportional to 113,168.24, 169,748.04 and 38,294

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Solution

The fourth proportional to 113,168.24, 169,748.04 and 38,294 is: 57,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,168.24 : 169,748.04 = 38,294 : x
  2. Step 2: Convert to fraction form
    113,168.24/169,748.04 = 38,294/x
  3. Step 3: Cross multiply
    113,168.24x = 169,748.04 × 38,294
  4. Step 4: Simplify right side
    113,168.24x = 6,500,331,443.76
  5. Step 5: Solve for x
    x = 6,500,331,443.76/113,168.24
  6. Step 6: Final answer
    x = 57,439.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.