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Finding the Fourth Proportional to 78,614.10, 117,921.15 and 47,121.30

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Solution

The fourth proportional to 78,614.10, 117,921.15 and 47,121.30 is: 70,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,614.10 : 117,921.15 = 47,121.30 : x
  2. Step 2: Convert to fraction form
    78,614.10/117,921.15 = 47,121.30/x
  3. Step 3: Cross multiply
    78,614.10x = 117,921.15 × 47,121.30
  4. Step 4: Simplify right side
    78,614.10x = 5,556,597,885.50
  5. Step 5: Solve for x
    x = 5,556,597,885.50/78,614.10
  6. Step 6: Final answer
    x = 70,681.95

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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.