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Finding the Fourth Proportional to 34,117.54, 51,169.24 and 9,151.65

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Solution

The fourth proportional to 34,117.54, 51,169.24 and 9,151.65 is: 13,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,117.54 : 51,169.24 = 9,151.65 : x
  2. Step 2: Convert to fraction form
    34,117.54/51,169.24 = 9,151.65/x
  3. Step 3: Cross multiply
    34,117.54x = 51,169.24 × 9,151.65
  4. Step 4: Simplify right side
    34,117.54x = 468,282,975.25
  5. Step 5: Solve for x
    x = 468,282,975.25/34,117.54
  6. Step 6: Final answer
    x = 13,725.58

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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.