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Finding the Fourth Proportional to 69,023.68, 103,503.12 and 31,573.12

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Solution

The fourth proportional to 69,023.68, 103,503.12 and 31,573.12 is: 47,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,023.68 : 103,503.12 = 31,573.12 : x
  2. Step 2: Convert to fraction form
    69,023.68/103,503.12 = 31,573.12/x
  3. Step 3: Cross multiply
    69,023.68x = 103,503.12 × 31,573.12
  4. Step 4: Simplify right side
    69,023.68x = 3,267,916,428.13
  5. Step 5: Solve for x
    x = 3,267,916,428.13/69,023.68
  6. Step 6: Final answer
    x = 47,344.86

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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.