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Finding the Fourth Proportional to 38,701.89, 53,410.77 and 29,124.56

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Solution

The fourth proportional to 38,701.89, 53,410.77 and 29,124.56 is: 40,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.89 : 53,410.77 = 29,124.56 : x
  2. Step 2: Convert to fraction form
    38,701.89/53,410.77 = 29,124.56/x
  3. Step 3: Cross multiply
    38,701.89x = 53,410.77 × 29,124.56
  4. Step 4: Simplify right side
    38,701.89x = 1,555,565,309.04
  5. Step 5: Solve for x
    x = 1,555,565,309.04/38,701.89
  6. Step 6: Final answer
    x = 40,193.52

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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.