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Finding the Fourth Proportional to 73,823.86, 110,728.76 and 29,438.74

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Solution

The fourth proportional to 73,823.86, 110,728.76 and 29,438.74 is: 44,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.86 : 110,728.76 = 29,438.74 : x
  2. Step 2: Convert to fraction form
    73,823.86/110,728.76 = 29,438.74/x
  3. Step 3: Cross multiply
    73,823.86x = 110,728.76 × 29,438.74
  4. Step 4: Simplify right side
    73,823.86x = 3,259,714,622.52
  5. Step 5: Solve for x
    x = 3,259,714,622.52/73,823.86
  6. Step 6: Final answer
    x = 44,155.30

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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.