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Finding the Fourth Proportional to 57,010.38, 78,674.43 and 31,859.88

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Solution

The fourth proportional to 57,010.38, 78,674.43 and 31,859.88 is: 43,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.38 : 78,674.43 = 31,859.88 : x
  2. Step 2: Convert to fraction form
    57,010.38/78,674.43 = 31,859.88/x
  3. Step 3: Cross multiply
    57,010.38x = 78,674.43 × 31,859.88
  4. Step 4: Simplify right side
    57,010.38x = 2,506,557,898.87
  5. Step 5: Solve for x
    x = 2,506,557,898.87/57,010.38
  6. Step 6: Final answer
    x = 43,966.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.