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Finding the Fourth Proportional to 48,655.80, 72,983.70 and 27,587.70

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Solution

The fourth proportional to 48,655.80, 72,983.70 and 27,587.70 is: 41,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,655.80 : 72,983.70 = 27,587.70 : x
  2. Step 2: Convert to fraction form
    48,655.80/72,983.70 = 27,587.70/x
  3. Step 3: Cross multiply
    48,655.80x = 72,983.70 × 27,587.70
  4. Step 4: Simplify right side
    48,655.80x = 2,013,452,420.49
  5. Step 5: Solve for x
    x = 2,013,452,420.49/48,655.80
  6. Step 6: Final answer
    x = 41,381.55

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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.