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Finding the Fourth Proportional to 56,406.38, 77,846.27 and 31,255.88

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Solution

The fourth proportional to 56,406.38, 77,846.27 and 31,255.88 is: 43,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.38 : 77,846.27 = 31,255.88 : x
  2. Step 2: Convert to fraction form
    56,406.38/77,846.27 = 31,255.88/x
  3. Step 3: Cross multiply
    56,406.38x = 77,846.27 × 31,255.88
  4. Step 4: Simplify right side
    56,406.38x = 2,433,153,128.06
  5. Step 5: Solve for x
    x = 2,433,153,128.06/56,406.38
  6. Step 6: Final answer
    x = 43,136.14

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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.