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Finding the Fourth Proportional to 38,282.20, 52,832.25 and 21,289.50

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Solution

The fourth proportional to 38,282.20, 52,832.25 and 21,289.50 is: 29,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.20 : 52,832.25 = 21,289.50 : x
  2. Step 2: Convert to fraction form
    38,282.20/52,832.25 = 21,289.50/x
  3. Step 3: Cross multiply
    38,282.20x = 52,832.25 × 21,289.50
  4. Step 4: Simplify right side
    38,282.20x = 1,124,772,186.38
  5. Step 5: Solve for x
    x = 1,124,772,186.38/38,282.20
  6. Step 6: Final answer
    x = 29,381.07

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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.