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Finding the Fourth Proportional to 69,144.71, 103,781.62 and 35,888.13

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Solution

The fourth proportional to 69,144.71, 103,781.62 and 35,888.13 is: 53,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144.71 : 103,781.62 = 35,888.13 : x
  2. Step 2: Convert to fraction form
    69,144.71/103,781.62 = 35,888.13/x
  3. Step 3: Cross multiply
    69,144.71x = 103,781.62 × 35,888.13
  4. Step 4: Simplify right side
    69,144.71x = 3,724,528,315.03
  5. Step 5: Solve for x
    x = 3,724,528,315.03/69,144.71
  6. Step 6: Final answer
    x = 53,865.71

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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.