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Finding the Fourth Proportional to 38,960.32, 53,765.28 and 24,821.40

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Solution

The fourth proportional to 38,960.32, 53,765.28 and 24,821.40 is: 34,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960.32 : 53,765.28 = 24,821.40 : x
  2. Step 2: Convert to fraction form
    38,960.32/53,765.28 = 24,821.40/x
  3. Step 3: Cross multiply
    38,960.32x = 53,765.28 × 24,821.40
  4. Step 4: Simplify right side
    38,960.32x = 1,334,529,520.99
  5. Step 5: Solve for x
    x = 1,334,529,520.99/38,960.32
  6. Step 6: Final answer
    x = 34,253.56

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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.