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Finding the Fourth Proportional to 55,149, 82,723.77 and 13,596

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Solution

The fourth proportional to 55,149, 82,723.77 and 13,596 is: 20,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,149 : 82,723.77 = 13,596 : x
  2. Step 2: Convert to fraction form
    55,149/82,723.77 = 13,596/x
  3. Step 3: Cross multiply
    55,149x = 82,723.77 × 13,596
  4. Step 4: Simplify right side
    55,149x = 1,124,712,376.92
  5. Step 5: Solve for x
    x = 1,124,712,376.92/55,149
  6. Step 6: Final answer
    x = 20,394.07

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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.