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Finding the Fourth Proportional to 57,434.66, 86,151.75 and 15,314.66

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Solution

The fourth proportional to 57,434.66, 86,151.75 and 15,314.66 is: 22,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,434.66 : 86,151.75 = 15,314.66 : x
  2. Step 2: Convert to fraction form
    57,434.66/86,151.75 = 15,314.66/x
  3. Step 3: Cross multiply
    57,434.66x = 86,151.75 × 15,314.66
  4. Step 4: Simplify right side
    57,434.66x = 1,319,384,759.66
  5. Step 5: Solve for x
    x = 1,319,384,759.66/57,434.66
  6. Step 6: Final answer
    x = 22,971.93

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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.