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Finding the Fourth Proportional to 55,616.58, 83,424.15 and 13,497

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Solution

The fourth proportional to 55,616.58, 83,424.15 and 13,497 is: 20,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,616.58 : 83,424.15 = 13,497 : x
  2. Step 2: Convert to fraction form
    55,616.58/83,424.15 = 13,497/x
  3. Step 3: Cross multiply
    55,616.58x = 83,424.15 × 13,497
  4. Step 4: Simplify right side
    55,616.58x = 1,125,975,752.55
  5. Step 5: Solve for x
    x = 1,125,975,752.55/55,616.58
  6. Step 6: Final answer
    x = 20,245.33

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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.