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Finding the Fourth Proportional to 38,476.76, 53,121.88 and 29,507.04

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Solution

The fourth proportional to 38,476.76, 53,121.88 and 29,507.04 is: 40,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.76 : 53,121.88 = 29,507.04 : x
  2. Step 2: Convert to fraction form
    38,476.76/53,121.88 = 29,507.04/x
  3. Step 3: Cross multiply
    38,476.76x = 53,121.88 × 29,507.04
  4. Step 4: Simplify right side
    38,476.76x = 1,567,469,438.04
  5. Step 5: Solve for x
    x = 1,567,469,438.04/38,476.76
  6. Step 6: Final answer
    x = 40,738.08

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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.