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Finding the Fourth Proportional to 57,978.27, 87,000.23 and 24,694.87

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Solution

The fourth proportional to 57,978.27, 87,000.23 and 24,694.87 is: 37,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.27 : 87,000.23 = 24,694.87 : x
  2. Step 2: Convert to fraction form
    57,978.27/87,000.23 = 24,694.87/x
  3. Step 3: Cross multiply
    57,978.27x = 87,000.23 × 24,694.87
  4. Step 4: Simplify right side
    57,978.27x = 2,148,459,369.82
  5. Step 5: Solve for x
    x = 2,148,459,369.82/57,978.27
  6. Step 6: Final answer
    x = 37,056.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.