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Finding the Fourth Proportional to 48,871.68, 73,292.16 and 16,032

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Solution

The fourth proportional to 48,871.68, 73,292.16 and 16,032 is: 24,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,871.68 : 73,292.16 = 16,032 : x
  2. Step 2: Convert to fraction form
    48,871.68/73,292.16 = 16,032/x
  3. Step 3: Cross multiply
    48,871.68x = 73,292.16 × 16,032
  4. Step 4: Simplify right side
    48,871.68x = 1,175,019,909.12
  5. Step 5: Solve for x
    x = 1,175,019,909.12/48,871.68
  6. Step 6: Final answer
    x = 24,042.96

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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.