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Finding the Fourth Proportional to 69,089.50, 103,634.28 and 24,713.60

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Solution

The fourth proportional to 69,089.50, 103,634.28 and 24,713.60 is: 37,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089.50 : 103,634.28 = 24,713.60 : x
  2. Step 2: Convert to fraction form
    69,089.50/103,634.28 = 24,713.60/x
  3. Step 3: Cross multiply
    69,089.50x = 103,634.28 × 24,713.60
  4. Step 4: Simplify right side
    69,089.50x = 2,561,176,142.21
  5. Step 5: Solve for x
    x = 2,561,176,142.21/69,089.50
  6. Step 6: Final answer
    x = 37,070.41

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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.