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Finding the Fourth Proportional to 27,212.98, 40,780.52 and 15,502

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Solution

The fourth proportional to 27,212.98, 40,780.52 and 15,502 is: 23,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.98 : 40,780.52 = 15,502 : x
  2. Step 2: Convert to fraction form
    27,212.98/40,780.52 = 15,502/x
  3. Step 3: Cross multiply
    27,212.98x = 40,780.52 × 15,502
  4. Step 4: Simplify right side
    27,212.98x = 632,179,621.04
  5. Step 5: Solve for x
    x = 632,179,621.04/27,212.98
  6. Step 6: Final answer
    x = 23,230.81

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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.