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Finding the Fourth Proportional to 103,872.66, 155,829.96 and 32,806.38

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Solution

The fourth proportional to 103,872.66, 155,829.96 and 32,806.38 is: 49,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872.66 : 155,829.96 = 32,806.38 : x
  2. Step 2: Convert to fraction form
    103,872.66/155,829.96 = 32,806.38/x
  3. Step 3: Cross multiply
    103,872.66x = 155,829.96 × 32,806.38
  4. Step 4: Simplify right side
    103,872.66x = 5,112,216,883.14
  5. Step 5: Solve for x
    x = 5,112,216,883.14/103,872.66
  6. Step 6: Final answer
    x = 49,216.19

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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.