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Finding the Fourth Proportional to 27,952.32, 41,932.80 and 9,480

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Solution

The fourth proportional to 27,952.32, 41,932.80 and 9,480 is: 14,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.32 : 41,932.80 = 9,480 : x
  2. Step 2: Convert to fraction form
    27,952.32/41,932.80 = 9,480/x
  3. Step 3: Cross multiply
    27,952.32x = 41,932.80 × 9,480
  4. Step 4: Simplify right side
    27,952.32x = 397,522,944
  5. Step 5: Solve for x
    x = 397,522,944/27,952.32
  6. Step 6: Final answer
    x = 14,221.47

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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.