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Finding the Fourth Proportional to 38,497.60, 57,746.40 and 31,499.20

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Solution

The fourth proportional to 38,497.60, 57,746.40 and 31,499.20 is: 47,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.60 : 57,746.40 = 31,499.20 : x
  2. Step 2: Convert to fraction form
    38,497.60/57,746.40 = 31,499.20/x
  3. Step 3: Cross multiply
    38,497.60x = 57,746.40 × 31,499.20
  4. Step 4: Simplify right side
    38,497.60x = 1,818,965,402.88
  5. Step 5: Solve for x
    x = 1,818,965,402.88/38,497.60
  6. Step 6: Final answer
    x = 47,248.80

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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.