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Finding the Fourth Proportional to 56,550, 78,042.24 and 31,401.12

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Solution

The fourth proportional to 56,550, 78,042.24 and 31,401.12 is: 43,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,550 : 78,042.24 = 31,401.12 : x
  2. Step 2: Convert to fraction form
    56,550/78,042.24 = 31,401.12/x
  3. Step 3: Cross multiply
    56,550x = 78,042.24 × 31,401.12
  4. Step 4: Simplify right side
    56,550x = 2,450,613,743.31
  5. Step 5: Solve for x
    x = 2,450,613,743.31/56,550
  6. Step 6: Final answer
    x = 43,335.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.