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Finding the Fourth Proportional to 57,152.46, 78,870.27 and 32,001.96

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Solution

The fourth proportional to 57,152.46, 78,870.27 and 32,001.96 is: 44,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.46 : 78,870.27 = 32,001.96 : x
  2. Step 2: Convert to fraction form
    57,152.46/78,870.27 = 32,001.96/x
  3. Step 3: Cross multiply
    57,152.46x = 78,870.27 × 32,001.96
  4. Step 4: Simplify right side
    57,152.46x = 2,524,003,225.73
  5. Step 5: Solve for x
    x = 2,524,003,225.73/57,152.46
  6. Step 6: Final answer
    x = 44,162.63

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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.