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Finding the Fourth Proportional to 71,648.74, 107,308.33 and 41,588.53

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Solution

The fourth proportional to 71,648.74, 107,308.33 and 41,588.53 is: 62,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.74 : 107,308.33 = 41,588.53 : x
  2. Step 2: Convert to fraction form
    71,648.74/107,308.33 = 41,588.53/x
  3. Step 3: Cross multiply
    71,648.74x = 107,308.33 × 41,588.53
  4. Step 4: Simplify right side
    71,648.74x = 4,462,795,701.45
  5. Step 5: Solve for x
    x = 4,462,795,701.45/71,648.74
  6. Step 6: Final answer
    x = 62,287.15

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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.