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Finding the Fourth Proportional to 48,158.92, 72,241.62 and 18,577

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Solution

The fourth proportional to 48,158.92, 72,241.62 and 18,577 is: 27,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,158.92 : 72,241.62 = 18,577 : x
  2. Step 2: Convert to fraction form
    48,158.92/72,241.62 = 18,577/x
  3. Step 3: Cross multiply
    48,158.92x = 72,241.62 × 18,577
  4. Step 4: Simplify right side
    48,158.92x = 1,342,032,574.74
  5. Step 5: Solve for x
    x = 1,342,032,574.74/48,158.92
  6. Step 6: Final answer
    x = 27,866.75

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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.