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Finding the Fourth Proportional to 109,913.50, 164,759.48 and 43,327.86

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Solution

The fourth proportional to 109,913.50, 164,759.48 and 43,327.86 is: 64,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913.50 : 164,759.48 = 43,327.86 : x
  2. Step 2: Convert to fraction form
    109,913.50/164,759.48 = 43,327.86/x
  3. Step 3: Cross multiply
    109,913.50x = 164,759.48 × 43,327.86
  4. Step 4: Simplify right side
    109,913.50x = 7,138,675,683.11
  5. Step 5: Solve for x
    x = 7,138,675,683.11/109,913.50
  6. Step 6: Final answer
    x = 64,948.12

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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.