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Finding the Fourth Proportional to 83,996.04, 115,894.38 and 47,689.44

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Solution

The fourth proportional to 83,996.04, 115,894.38 and 47,689.44 is: 65,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,996.04 : 115,894.38 = 47,689.44 : x
  2. Step 2: Convert to fraction form
    83,996.04/115,894.38 = 47,689.44/x
  3. Step 3: Cross multiply
    83,996.04x = 115,894.38 × 47,689.44
  4. Step 4: Simplify right side
    83,996.04x = 5,526,938,081.35
  5. Step 5: Solve for x
    x = 5,526,938,081.35/83,996.04
  6. Step 6: Final answer
    x = 65,799.98

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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.