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Finding the Fourth Proportional to 57,411.64, 86,100.72 and 22,342.96

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Solution

The fourth proportional to 57,411.64, 86,100.72 and 22,342.96 is: 33,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.64 : 86,100.72 = 22,342.96 : x
  2. Step 2: Convert to fraction form
    57,411.64/86,100.72 = 22,342.96/x
  3. Step 3: Cross multiply
    57,411.64x = 86,100.72 × 22,342.96
  4. Step 4: Simplify right side
    57,411.64x = 1,923,744,942.93
  5. Step 5: Solve for x
    x = 1,923,744,942.93/57,411.64
  6. Step 6: Final answer
    x = 33,507.93

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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.