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Finding the Fourth Proportional to 57,785.40, 86,678.10 and 16,232.40

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Solution

The fourth proportional to 57,785.40, 86,678.10 and 16,232.40 is: 24,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.40 : 86,678.10 = 16,232.40 : x
  2. Step 2: Convert to fraction form
    57,785.40/86,678.10 = 16,232.40/x
  3. Step 3: Cross multiply
    57,785.40x = 86,678.10 × 16,232.40
  4. Step 4: Simplify right side
    57,785.40x = 1,406,993,590.44
  5. Step 5: Solve for x
    x = 1,406,993,590.44/57,785.40
  6. Step 6: Final answer
    x = 24,348.60

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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.