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Finding the Fourth Proportional to 71,534.34, 98,719.97 and 43,223.63

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Solution

The fourth proportional to 71,534.34, 98,719.97 and 43,223.63 is: 59,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534.34 : 98,719.97 = 43,223.63 : x
  2. Step 2: Convert to fraction form
    71,534.34/98,719.97 = 43,223.63/x
  3. Step 3: Cross multiply
    71,534.34x = 98,719.97 × 43,223.63
  4. Step 4: Simplify right side
    71,534.34x = 4,267,034,747.17
  5. Step 5: Solve for x
    x = 4,267,034,747.17/71,534.34
  6. Step 6: Final answer
    x = 59,650.16

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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.