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Finding the Fourth Proportional to 77,791.59, 116,701.97 and 31,044.87

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Solution

The fourth proportional to 77,791.59, 116,701.97 and 31,044.87 is: 46,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,791.59 : 116,701.97 = 31,044.87 : x
  2. Step 2: Convert to fraction form
    77,791.59/116,701.97 = 31,044.87/x
  3. Step 3: Cross multiply
    77,791.59x = 116,701.97 × 31,044.87
  4. Step 4: Simplify right side
    77,791.59x = 3,622,997,332.17
  5. Step 5: Solve for x
    x = 3,622,997,332.17/77,791.59
  6. Step 6: Final answer
    x = 46,573.12

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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.