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Finding the Fourth Proportional to 109,507.65, 164,260.50 and 34,627.85

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Solution

The fourth proportional to 109,507.65, 164,260.50 and 34,627.85 is: 51,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,507.65 : 164,260.50 = 34,627.85 : x
  2. Step 2: Convert to fraction form
    109,507.65/164,260.50 = 34,627.85/x
  3. Step 3: Cross multiply
    109,507.65x = 164,260.50 × 34,627.85
  4. Step 4: Simplify right side
    109,507.65x = 5,687,987,954.93
  5. Step 5: Solve for x
    x = 5,687,987,954.93/109,507.65
  6. Step 6: Final answer
    x = 51,941.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.