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Finding the Fourth Proportional to 48,543.48, 72,843.53 and 20,461.82

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Solution

The fourth proportional to 48,543.48, 72,843.53 and 20,461.82 is: 30,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,543.48 : 72,843.53 = 20,461.82 : x
  2. Step 2: Convert to fraction form
    48,543.48/72,843.53 = 20,461.82/x
  3. Step 3: Cross multiply
    48,543.48x = 72,843.53 × 20,461.82
  4. Step 4: Simplify right side
    48,543.48x = 1,490,510,732.50
  5. Step 5: Solve for x
    x = 1,490,510,732.50/48,543.48
  6. Step 6: Final answer
    x = 30,704.65

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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.