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Finding the Fourth Proportional to 69,113.16, 103,662.90 and 24,738.12

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Solution

The fourth proportional to 69,113.16, 103,662.90 and 24,738.12 is: 37,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,113.16 : 103,662.90 = 24,738.12 : x
  2. Step 2: Convert to fraction form
    69,113.16/103,662.90 = 24,738.12/x
  3. Step 3: Cross multiply
    69,113.16x = 103,662.90 × 24,738.12
  4. Step 4: Simplify right side
    69,113.16x = 2,564,425,259.75
  5. Step 5: Solve for x
    x = 2,564,425,259.75/69,113.16
  6. Step 6: Final answer
    x = 37,104.73

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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.