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Finding the Fourth Proportional to 38,402.32, 53,000.12 and 23,297.52

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Solution

The fourth proportional to 38,402.32, 53,000.12 and 23,297.52 is: 32,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.32 : 53,000.12 = 23,297.52 : x
  2. Step 2: Convert to fraction form
    38,402.32/53,000.12 = 23,297.52/x
  3. Step 3: Cross multiply
    38,402.32x = 53,000.12 × 23,297.52
  4. Step 4: Simplify right side
    38,402.32x = 1,234,771,355.70
  5. Step 5: Solve for x
    x = 1,234,771,355.70/38,402.32
  6. Step 6: Final answer
    x = 32,153.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.