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Finding the Fourth Proportional to 77,498, 116,248.08 and 22,094

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Solution

The fourth proportional to 77,498, 116,248.08 and 22,094 is: 33,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498 : 116,248.08 = 22,094 : x
  2. Step 2: Convert to fraction form
    77,498/116,248.08 = 22,094/x
  3. Step 3: Cross multiply
    77,498x = 116,248.08 × 22,094
  4. Step 4: Simplify right side
    77,498x = 2,568,385,079.52
  5. Step 5: Solve for x
    x = 2,568,385,079.52/77,498
  6. Step 6: Final answer
    x = 33,141.31

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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.