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Finding the Fourth Proportional to 73,854.48, 110,737.74 and 34,420.44

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Solution

The fourth proportional to 73,854.48, 110,737.74 and 34,420.44 is: 51,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854.48 : 110,737.74 = 34,420.44 : x
  2. Step 2: Convert to fraction form
    73,854.48/110,737.74 = 34,420.44/x
  3. Step 3: Cross multiply
    73,854.48x = 110,737.74 × 34,420.44
  4. Step 4: Simplify right side
    73,854.48x = 3,811,641,735.41
  5. Step 5: Solve for x
    x = 3,811,641,735.41/73,854.48
  6. Step 6: Final answer
    x = 51,610.16

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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.