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Finding the Fourth Proportional to 77,357.25, 116,042.94 and 24,049.53

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Solution

The fourth proportional to 77,357.25, 116,042.94 and 24,049.53 is: 36,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.25 : 116,042.94 = 24,049.53 : x
  2. Step 2: Convert to fraction form
    77,357.25/116,042.94 = 24,049.53/x
  3. Step 3: Cross multiply
    77,357.25x = 116,042.94 × 24,049.53
  4. Step 4: Simplify right side
    77,357.25x = 2,790,778,166.82
  5. Step 5: Solve for x
    x = 2,790,778,166.82/77,357.25
  6. Step 6: Final answer
    x = 36,076.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.