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Finding the Fourth Proportional to 56,542.69, 78,025.88 and 31,044.09

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Solution

The fourth proportional to 56,542.69, 78,025.88 and 31,044.09 is: 42,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,542.69 : 78,025.88 = 31,044.09 : x
  2. Step 2: Convert to fraction form
    56,542.69/78,025.88 = 31,044.09/x
  3. Step 3: Cross multiply
    56,542.69x = 78,025.88 × 31,044.09
  4. Step 4: Simplify right side
    56,542.69x = 2,422,242,811.26
  5. Step 5: Solve for x
    x = 2,422,242,811.26/56,542.69
  6. Step 6: Final answer
    x = 42,839.19

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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.