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Finding the Fourth Proportional to 48,658.41, 72,981.34 and 15,381.84

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Solution

The fourth proportional to 48,658.41, 72,981.34 and 15,381.84 is: 23,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658.41 : 72,981.34 = 15,381.84 : x
  2. Step 2: Convert to fraction form
    48,658.41/72,981.34 = 15,381.84/x
  3. Step 3: Cross multiply
    48,658.41x = 72,981.34 × 15,381.84
  4. Step 4: Simplify right side
    48,658.41x = 1,122,587,530.09
  5. Step 5: Solve for x
    x = 1,122,587,530.09/48,658.41
  6. Step 6: Final answer
    x = 23,070.78

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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.