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Finding the Fourth Proportional to 78,453.27, 117,613.76 and 34,046.57

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Solution

The fourth proportional to 78,453.27, 117,613.76 and 34,046.57 is: 51,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,453.27 : 117,613.76 = 34,046.57 : x
  2. Step 2: Convert to fraction form
    78,453.27/117,613.76 = 34,046.57/x
  3. Step 3: Cross multiply
    78,453.27x = 117,613.76 × 34,046.57
  4. Step 4: Simplify right side
    78,453.27x = 4,004,344,354.50
  5. Step 5: Solve for x
    x = 4,004,344,354.50/78,453.27
  6. Step 6: Final answer
    x = 51,041.14

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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.