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Finding the Fourth Proportional to 91,425.82, 137,089.42 and 41,478.66

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Solution

The fourth proportional to 91,425.82, 137,089.42 and 41,478.66 is: 62,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,425.82 : 137,089.42 = 41,478.66 : x
  2. Step 2: Convert to fraction form
    91,425.82/137,089.42 = 41,478.66/x
  3. Step 3: Cross multiply
    91,425.82x = 137,089.42 × 41,478.66
  4. Step 4: Simplify right side
    91,425.82x = 5,686,285,784.50
  5. Step 5: Solve for x
    x = 5,686,285,784.50/91,425.82
  6. Step 6: Final answer
    x = 62,195.62

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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.