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Finding the Fourth Proportional to 56,287.38, 77,679.02 and 31,136.88

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Solution

The fourth proportional to 56,287.38, 77,679.02 and 31,136.88 is: 42,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,287.38 : 77,679.02 = 31,136.88 : x
  2. Step 2: Convert to fraction form
    56,287.38/77,679.02 = 31,136.88/x
  3. Step 3: Cross multiply
    56,287.38x = 77,679.02 × 31,136.88
  4. Step 4: Simplify right side
    56,287.38x = 2,418,682,324.26
  5. Step 5: Solve for x
    x = 2,418,682,324.26/56,287.38
  6. Step 6: Final answer
    x = 42,970.24

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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.