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Finding the Fourth Proportional to 31,386.27, 47,079.48 and 7,693.92

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Solution

The fourth proportional to 31,386.27, 47,079.48 and 7,693.92 is: 11,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.27 : 47,079.48 = 7,693.92 : x
  2. Step 2: Convert to fraction form
    31,386.27/47,079.48 = 7,693.92/x
  3. Step 3: Cross multiply
    31,386.27x = 47,079.48 × 7,693.92
  4. Step 4: Simplify right side
    31,386.27x = 362,225,752.76
  5. Step 5: Solve for x
    x = 362,225,752.76/31,386.27
  6. Step 6: Final answer
    x = 11,540.90

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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.