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Finding the Fourth Proportional to 57,152.40, 78,870.24 and 32,002.08

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Solution

The fourth proportional to 57,152.40, 78,870.24 and 32,002.08 is: 44,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.40 : 78,870.24 = 32,002.08 : x
  2. Step 2: Convert to fraction form
    57,152.40/78,870.24 = 32,002.08/x
  3. Step 3: Cross multiply
    57,152.40x = 78,870.24 × 32,002.08
  4. Step 4: Simplify right side
    57,152.40x = 2,524,011,730.10
  5. Step 5: Solve for x
    x = 2,524,011,730.10/57,152.40
  6. Step 6: Final answer
    x = 44,162.83

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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.