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Finding the Fourth Proportional to 56,202.80, 84,292.05 and 24,612.80

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Solution

The fourth proportional to 56,202.80, 84,292.05 and 24,612.80 is: 36,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.80 : 84,292.05 = 24,612.80 : x
  2. Step 2: Convert to fraction form
    56,202.80/84,292.05 = 24,612.80/x
  3. Step 3: Cross multiply
    56,202.80x = 84,292.05 × 24,612.80
  4. Step 4: Simplify right side
    56,202.80x = 2,074,663,368.24
  5. Step 5: Solve for x
    x = 2,074,663,368.24/56,202.80
  6. Step 6: Final answer
    x = 36,913.88

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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.