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Finding the Fourth Proportional to 57,834.40, 86,751.60 and 16,281.40

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Solution

The fourth proportional to 57,834.40, 86,751.60 and 16,281.40 is: 24,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834.40 : 86,751.60 = 16,281.40 : x
  2. Step 2: Convert to fraction form
    57,834.40/86,751.60 = 16,281.40/x
  3. Step 3: Cross multiply
    57,834.40x = 86,751.60 × 16,281.40
  4. Step 4: Simplify right side
    57,834.40x = 1,412,437,500.24
  5. Step 5: Solve for x
    x = 1,412,437,500.24/57,834.40
  6. Step 6: Final answer
    x = 24,422.10

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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.