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Finding the Fourth Proportional to 77,417.97, 116,146.47 and 22,013.97

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Solution

The fourth proportional to 77,417.97, 116,146.47 and 22,013.97 is: 33,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,417.97 : 116,146.47 = 22,013.97 : x
  2. Step 2: Convert to fraction form
    77,417.97/116,146.47 = 22,013.97/x
  3. Step 3: Cross multiply
    77,417.97x = 116,146.47 × 22,013.97
  4. Step 4: Simplify right side
    77,417.97x = 2,556,844,906.19
  5. Step 5: Solve for x
    x = 2,556,844,906.19/77,417.97
  6. Step 6: Final answer
    x = 33,026.50

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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.