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Finding the Fourth Proportional to 57,701.80, 86,552.70 and 24,410.80

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Solution

The fourth proportional to 57,701.80, 86,552.70 and 24,410.80 is: 36,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.80 : 86,552.70 = 24,410.80 : x
  2. Step 2: Convert to fraction form
    57,701.80/86,552.70 = 24,410.80/x
  3. Step 3: Cross multiply
    57,701.80x = 86,552.70 × 24,410.80
  4. Step 4: Simplify right side
    57,701.80x = 2,112,820,649.16
  5. Step 5: Solve for x
    x = 2,112,820,649.16/57,701.80
  6. Step 6: Final answer
    x = 36,616.20

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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.