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Finding the Fourth Proportional to 40,842.90, 61,205.94 and 23,276.52

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Solution

The fourth proportional to 40,842.90, 61,205.94 and 23,276.52 is: 34,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.90 : 61,205.94 = 23,276.52 : x
  2. Step 2: Convert to fraction form
    40,842.90/61,205.94 = 23,276.52/x
  3. Step 3: Cross multiply
    40,842.90x = 61,205.94 × 23,276.52
  4. Step 4: Simplify right side
    40,842.90x = 1,424,661,286.53
  5. Step 5: Solve for x
    x = 1,424,661,286.53/40,842.90
  6. Step 6: Final answer
    x = 34,881.49

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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.