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Finding the Fourth Proportional to 38,403.60, 52,996.12 and 21,407.76

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Solution

The fourth proportional to 38,403.60, 52,996.12 and 21,407.76 is: 29,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403.60 : 52,996.12 = 21,407.76 : x
  2. Step 2: Convert to fraction form
    38,403.60/52,996.12 = 21,407.76/x
  3. Step 3: Cross multiply
    38,403.60x = 52,996.12 × 21,407.76
  4. Step 4: Simplify right side
    38,403.60x = 1,134,528,217.89
  5. Step 5: Solve for x
    x = 1,134,528,217.89/38,403.60
  6. Step 6: Final answer
    x = 29,542.24

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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.