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Finding the Fourth Proportional to 38,615.12, 57,931.18 and 21,983

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Solution

The fourth proportional to 38,615.12, 57,931.18 and 21,983 is: 32,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,615.12 : 57,931.18 = 21,983 : x
  2. Step 2: Convert to fraction form
    38,615.12/57,931.18 = 21,983/x
  3. Step 3: Cross multiply
    38,615.12x = 57,931.18 × 21,983
  4. Step 4: Simplify right side
    38,615.12x = 1,273,501,129.94
  5. Step 5: Solve for x
    x = 1,273,501,129.94/38,615.12
  6. Step 6: Final answer
    x = 32,979.34

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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.