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Finding the Fourth Proportional to 48,614.80, 72,776.40 and 28,883.20

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Solution

The fourth proportional to 48,614.80, 72,776.40 and 28,883.20 is: 43,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614.80 : 72,776.40 = 28,883.20 : x
  2. Step 2: Convert to fraction form
    48,614.80/72,776.40 = 28,883.20/x
  3. Step 3: Cross multiply
    48,614.80x = 72,776.40 × 28,883.20
  4. Step 4: Simplify right side
    48,614.80x = 2,102,015,316.48
  5. Step 5: Solve for x
    x = 2,102,015,316.48/48,614.80
  6. Step 6: Final answer
    x = 43,238.18

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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.