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Finding the Fourth Proportional to 117,642.96, 176,346.84 and 47,561.52

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Solution

The fourth proportional to 117,642.96, 176,346.84 and 47,561.52 is: 71,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,642.96 : 176,346.84 = 47,561.52 : x
  2. Step 2: Convert to fraction form
    117,642.96/176,346.84 = 47,561.52/x
  3. Step 3: Cross multiply
    117,642.96x = 176,346.84 × 47,561.52
  4. Step 4: Simplify right side
    117,642.96x = 8,387,323,757.60
  5. Step 5: Solve for x
    x = 8,387,323,757.60/117,642.96
  6. Step 6: Final answer
    x = 71,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.