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Finding the Fourth Proportional to 57,300, 85,984.56 and 24,468

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Solution

The fourth proportional to 57,300, 85,984.56 and 24,468 is: 36,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,300 : 85,984.56 = 24,468 : x
  2. Step 2: Convert to fraction form
    57,300/85,984.56 = 24,468/x
  3. Step 3: Cross multiply
    57,300x = 85,984.56 × 24,468
  4. Step 4: Simplify right side
    57,300x = 2,103,870,214.08
  5. Step 5: Solve for x
    x = 2,103,870,214.08/57,300
  6. Step 6: Final answer
    x = 36,716.76

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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.