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Finding the Fourth Proportional to 57,803.59, 86,709.64 and 24,519.88

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Solution

The fourth proportional to 57,803.59, 86,709.64 and 24,519.88 is: 36,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,803.59 : 86,709.64 = 24,519.88 : x
  2. Step 2: Convert to fraction form
    57,803.59/86,709.64 = 24,519.88/x
  3. Step 3: Cross multiply
    57,803.59x = 86,709.64 × 24,519.88
  4. Step 4: Simplify right side
    57,803.59x = 2,126,109,967.64
  5. Step 5: Solve for x
    x = 2,126,109,967.64/57,803.59
  6. Step 6: Final answer
    x = 36,781.62

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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.