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Finding the Fourth Proportional to 56,614.80, 84,902.52 and 28,524

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Solution

The fourth proportional to 56,614.80, 84,902.52 and 28,524 is: 42,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,614.80 : 84,902.52 = 28,524 : x
  2. Step 2: Convert to fraction form
    56,614.80/84,902.52 = 28,524/x
  3. Step 3: Cross multiply
    56,614.80x = 84,902.52 × 28,524
  4. Step 4: Simplify right side
    56,614.80x = 2,421,759,480.48
  5. Step 5: Solve for x
    x = 2,421,759,480.48/56,614.80
  6. Step 6: Final answer
    x = 42,776.08

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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.