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Finding the Fourth Proportional to 78,475.50, 117,713.25 and 20,107.50

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Solution

The fourth proportional to 78,475.50, 117,713.25 and 20,107.50 is: 30,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475.50 : 117,713.25 = 20,107.50 : x
  2. Step 2: Convert to fraction form
    78,475.50/117,713.25 = 20,107.50/x
  3. Step 3: Cross multiply
    78,475.50x = 117,713.25 × 20,107.50
  4. Step 4: Simplify right side
    78,475.50x = 2,366,919,174.38
  5. Step 5: Solve for x
    x = 2,366,919,174.38/78,475.50
  6. Step 6: Final answer
    x = 30,161.25

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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.