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Finding the Fourth Proportional to 106,820.50, 160,232.91 and 32,948.50

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Solution

The fourth proportional to 106,820.50, 160,232.91 and 32,948.50 is: 49,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820.50 : 160,232.91 = 32,948.50 : x
  2. Step 2: Convert to fraction form
    106,820.50/160,232.91 = 32,948.50/x
  3. Step 3: Cross multiply
    106,820.50x = 160,232.91 × 32,948.50
  4. Step 4: Simplify right side
    106,820.50x = 5,279,434,035.14
  5. Step 5: Solve for x
    x = 5,279,434,035.14/106,820.50
  6. Step 6: Final answer
    x = 49,423.42

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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.