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Finding the Fourth Proportional to 57,849.40, 86,774.10 and 16,296.40

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Solution

The fourth proportional to 57,849.40, 86,774.10 and 16,296.40 is: 24,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,849.40 : 86,774.10 = 16,296.40 : x
  2. Step 2: Convert to fraction form
    57,849.40/86,774.10 = 16,296.40/x
  3. Step 3: Cross multiply
    57,849.40x = 86,774.10 × 16,296.40
  4. Step 4: Simplify right side
    57,849.40x = 1,414,105,443.24
  5. Step 5: Solve for x
    x = 1,414,105,443.24/57,849.40
  6. Step 6: Final answer
    x = 24,444.60

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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.