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Finding the Fourth Proportional to 73,823.88, 110,728.76 and 29,438.76

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Solution

The fourth proportional to 73,823.88, 110,728.76 and 29,438.76 is: 44,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.88 : 110,728.76 = 29,438.76 : x
  2. Step 2: Convert to fraction form
    73,823.88/110,728.76 = 29,438.76/x
  3. Step 3: Cross multiply
    73,823.88x = 110,728.76 × 29,438.76
  4. Step 4: Simplify right side
    73,823.88x = 3,259,717,390.74
  5. Step 5: Solve for x
    x = 3,259,717,390.74/73,823.88
  6. Step 6: Final answer
    x = 44,155.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.