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Finding the Fourth Proportional to 57,752.56, 86,634.50 and 24,011.60

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Solution

The fourth proportional to 57,752.56, 86,634.50 and 24,011.60 is: 36,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,752.56 : 86,634.50 = 24,011.60 : x
  2. Step 2: Convert to fraction form
    57,752.56/86,634.50 = 24,011.60/x
  3. Step 3: Cross multiply
    57,752.56x = 86,634.50 × 24,011.60
  4. Step 4: Simplify right side
    57,752.56x = 2,080,232,960.20
  5. Step 5: Solve for x
    x = 2,080,232,960.20/57,752.56
  6. Step 6: Final answer
    x = 36,019.75

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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.