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Finding the Fourth Proportional to 38,450.32, 53,063.40 and 29,002.48

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Solution

The fourth proportional to 38,450.32, 53,063.40 and 29,002.48 is: 40,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450.32 : 53,063.40 = 29,002.48 : x
  2. Step 2: Convert to fraction form
    38,450.32/53,063.40 = 29,002.48/x
  3. Step 3: Cross multiply
    38,450.32x = 53,063.40 × 29,002.48
  4. Step 4: Simplify right side
    38,450.32x = 1,538,970,197.23
  5. Step 5: Solve for x
    x = 1,538,970,197.23/38,450.32
  6. Step 6: Final answer
    x = 40,024.90

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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.