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Finding the Fourth Proportional to 77,743.74, 107,285.16 and 43,749.57

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Solution

The fourth proportional to 77,743.74, 107,285.16 and 43,749.57 is: 60,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743.74 : 107,285.16 = 43,749.57 : x
  2. Step 2: Convert to fraction form
    77,743.74/107,285.16 = 43,749.57/x
  3. Step 3: Cross multiply
    77,743.74x = 107,285.16 × 43,749.57
  4. Step 4: Simplify right side
    77,743.74x = 4,693,679,617.38
  5. Step 5: Solve for x
    x = 4,693,679,617.38/77,743.74
  6. Step 6: Final answer
    x = 60,373.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.