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Finding the Fourth Proportional to 57,909.48, 86,864.10 and 16,356.48

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Solution

The fourth proportional to 57,909.48, 86,864.10 and 16,356.48 is: 24,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909.48 : 86,864.10 = 16,356.48 : x
  2. Step 2: Convert to fraction form
    57,909.48/86,864.10 = 16,356.48/x
  3. Step 3: Cross multiply
    57,909.48x = 86,864.10 × 16,356.48
  4. Step 4: Simplify right side
    57,909.48x = 1,420,790,914.37
  5. Step 5: Solve for x
    x = 1,420,790,914.37/57,909.48
  6. Step 6: Final answer
    x = 24,534.69

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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.