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Finding the Fourth Proportional to 38,288.50, 52,837.13 and 21,291.86

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Solution

The fourth proportional to 38,288.50, 52,837.13 and 21,291.86 is: 29,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288.50 : 52,837.13 = 21,291.86 : x
  2. Step 2: Convert to fraction form
    38,288.50/52,837.13 = 21,291.86/x
  3. Step 3: Cross multiply
    38,288.50x = 52,837.13 × 21,291.86
  4. Step 4: Simplify right side
    38,288.50x = 1,125,000,960.08
  5. Step 5: Solve for x
    x = 1,125,000,960.08/38,288.50
  6. Step 6: Final answer
    x = 29,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.