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Finding the Fourth Proportional to 48,766.46, 73,142.21 and 15,482.21

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Solution

The fourth proportional to 48,766.46, 73,142.21 and 15,482.21 is: 23,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766.46 : 73,142.21 = 15,482.21 : x
  2. Step 2: Convert to fraction form
    48,766.46/73,142.21 = 15,482.21/x
  3. Step 3: Cross multiply
    48,766.46x = 73,142.21 × 15,482.21
  4. Step 4: Simplify right side
    48,766.46x = 1,132,402,728.08
  5. Step 5: Solve for x
    x = 1,132,402,728.08/48,766.46
  6. Step 6: Final answer
    x = 23,220.94

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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.