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Finding the Fourth Proportional to 85,327.46, 117,743.72 and 47,604.14

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Solution

The fourth proportional to 85,327.46, 117,743.72 and 47,604.14 is: 65,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,327.46 : 117,743.72 = 47,604.14 : x
  2. Step 2: Convert to fraction form
    85,327.46/117,743.72 = 47,604.14/x
  3. Step 3: Cross multiply
    85,327.46x = 117,743.72 × 47,604.14
  4. Step 4: Simplify right side
    85,327.46x = 5,605,088,531.00
  5. Step 5: Solve for x
    x = 5,605,088,531.00/85,327.46
  6. Step 6: Final answer
    x = 65,689.15

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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.