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Finding the Fourth Proportional to 40,438.28, 60,657.42 and 15,797

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Solution

The fourth proportional to 40,438.28, 60,657.42 and 15,797 is: 23,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,438.28 : 60,657.42 = 15,797 : x
  2. Step 2: Convert to fraction form
    40,438.28/60,657.42 = 15,797/x
  3. Step 3: Cross multiply
    40,438.28x = 60,657.42 × 15,797
  4. Step 4: Simplify right side
    40,438.28x = 958,205,263.74
  5. Step 5: Solve for x
    x = 958,205,263.74/40,438.28
  6. Step 6: Final answer
    x = 23,695.50

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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.