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Finding the Fourth Proportional to 73,129.50, 109,698.17 and 23,213.52

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Solution

The fourth proportional to 73,129.50, 109,698.17 and 23,213.52 is: 34,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.50 : 109,698.17 = 23,213.52 : x
  2. Step 2: Convert to fraction form
    73,129.50/109,698.17 = 23,213.52/x
  3. Step 3: Cross multiply
    73,129.50x = 109,698.17 × 23,213.52
  4. Step 4: Simplify right side
    73,129.50x = 2,546,480,547.19
  5. Step 5: Solve for x
    x = 2,546,480,547.19/73,129.50
  6. Step 6: Final answer
    x = 34,821.52

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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.