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Finding the Fourth Proportional to 90,931.12, 136,397.04 and 31,766.56

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Solution

The fourth proportional to 90,931.12, 136,397.04 and 31,766.56 is: 47,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,931.12 : 136,397.04 = 31,766.56 : x
  2. Step 2: Convert to fraction form
    90,931.12/136,397.04 = 31,766.56/x
  3. Step 3: Cross multiply
    90,931.12x = 136,397.04 × 31,766.56
  4. Step 4: Simplify right side
    90,931.12x = 4,332,864,754.98
  5. Step 5: Solve for x
    x = 4,332,864,754.98/90,931.12
  6. Step 6: Final answer
    x = 47,649.97

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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.