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Finding the Fourth Proportional to 38,302.38, 57,480 and 13,342.64

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Solution

The fourth proportional to 38,302.38, 57,480 and 13,342.64 is: 20,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.38 : 57,480 = 13,342.64 : x
  2. Step 2: Convert to fraction form
    38,302.38/57,480 = 13,342.64/x
  3. Step 3: Cross multiply
    38,302.38x = 57,480 × 13,342.64
  4. Step 4: Simplify right side
    38,302.38x = 766,934,767.58
  5. Step 5: Solve for x
    x = 766,934,767.58/38,302.38
  6. Step 6: Final answer
    x = 20,023.16

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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.