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Finding the Fourth Proportional to 91,468.68, 137,223.18 and 27,424.27

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Solution

The fourth proportional to 91,468.68, 137,223.18 and 27,424.27 is: 41,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,468.68 : 137,223.18 = 27,424.27 : x
  2. Step 2: Convert to fraction form
    91,468.68/137,223.18 = 27,424.27/x
  3. Step 3: Cross multiply
    91,468.68x = 137,223.18 × 27,424.27
  4. Step 4: Simplify right side
    91,468.68x = 3,763,245,538.58
  5. Step 5: Solve for x
    x = 3,763,245,538.58/91,468.68
  6. Step 6: Final answer
    x = 41,142.45

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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.