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Finding the Fourth Proportional to 38,916, 53,712.48 and 24,765.84

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Solution

The fourth proportional to 38,916, 53,712.48 and 24,765.84 is: 34,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,916 : 53,712.48 = 24,765.84 : x
  2. Step 2: Convert to fraction form
    38,916/53,712.48 = 24,765.84/x
  3. Step 3: Cross multiply
    38,916x = 53,712.48 × 24,765.84
  4. Step 4: Simplify right side
    38,916x = 1,330,234,685.68
  5. Step 5: Solve for x
    x = 1,330,234,685.68/38,916
  6. Step 6: Final answer
    x = 34,182.20

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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.