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Finding the Fourth Proportional to 56,642.38, 78,168.47 and 31,149.79

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Solution

The fourth proportional to 56,642.38, 78,168.47 and 31,149.79 is: 42,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642.38 : 78,168.47 = 31,149.79 : x
  2. Step 2: Convert to fraction form
    56,642.38/78,168.47 = 31,149.79/x
  3. Step 3: Cross multiply
    56,642.38x = 78,168.47 × 31,149.79
  4. Step 4: Simplify right side
    56,642.38x = 2,434,931,425.12
  5. Step 5: Solve for x
    x = 2,434,931,425.12/56,642.38
  6. Step 6: Final answer
    x = 42,987.80

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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.