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Finding the Fourth Proportional to 50,376, 75,565.60 and 15,315.96

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Solution

The fourth proportional to 50,376, 75,565.60 and 15,315.96 is: 22,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,376 : 75,565.60 = 15,315.96 : x
  2. Step 2: Convert to fraction form
    50,376/75,565.60 = 15,315.96/x
  3. Step 3: Cross multiply
    50,376x = 75,565.60 × 15,315.96
  4. Step 4: Simplify right side
    50,376x = 1,157,359,706.98
  5. Step 5: Solve for x
    x = 1,157,359,706.98/50,376
  6. Step 6: Final answer
    x = 22,974.43

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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.