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Finding the Fourth Proportional to 55,615.58, 83,422.66 and 13,496

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Solution

The fourth proportional to 55,615.58, 83,422.66 and 13,496 is: 20,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,615.58 : 83,422.66 = 13,496 : x
  2. Step 2: Convert to fraction form
    55,615.58/83,422.66 = 13,496/x
  3. Step 3: Cross multiply
    55,615.58x = 83,422.66 × 13,496
  4. Step 4: Simplify right side
    55,615.58x = 1,125,872,151.88
  5. Step 5: Solve for x
    x = 1,125,872,151.88/55,615.58
  6. Step 6: Final answer
    x = 20,243.83

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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.