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Finding the Fourth Proportional to 57,411.70, 86,134.02 and 24,114.64

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Solution

The fourth proportional to 57,411.70, 86,134.02 and 24,114.64 is: 36,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.70 : 86,134.02 = 24,114.64 : x
  2. Step 2: Convert to fraction form
    57,411.70/86,134.02 = 24,114.64/x
  3. Step 3: Cross multiply
    57,411.70x = 86,134.02 × 24,114.64
  4. Step 4: Simplify right side
    57,411.70x = 2,077,090,884.05
  5. Step 5: Solve for x
    x = 2,077,090,884.05/57,411.70
  6. Step 6: Final answer
    x = 36,178.88

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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.