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Finding the Fourth Proportional to 90,543.60, 135,727.92 and 31,334.76

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Solution

The fourth proportional to 90,543.60, 135,727.92 and 31,334.76 is: 46,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,543.60 : 135,727.92 = 31,334.76 : x
  2. Step 2: Convert to fraction form
    90,543.60/135,727.92 = 31,334.76/x
  3. Step 3: Cross multiply
    90,543.60x = 135,727.92 × 31,334.76
  4. Step 4: Simplify right side
    90,543.60x = 4,253,001,798.50
  5. Step 5: Solve for x
    x = 4,253,001,798.50/90,543.60
  6. Step 6: Final answer
    x = 46,971.87

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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.