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Finding the Fourth Proportional to 83,418.90, 115,089.48 and 47,583.12

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Solution

The fourth proportional to 83,418.90, 115,089.48 and 47,583.12 is: 65,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,418.90 : 115,089.48 = 47,583.12 : x
  2. Step 2: Convert to fraction form
    83,418.90/115,089.48 = 47,583.12/x
  3. Step 3: Cross multiply
    83,418.90x = 115,089.48 × 47,583.12
  4. Step 4: Simplify right side
    83,418.90x = 5,476,316,537.58
  5. Step 5: Solve for x
    x = 5,476,316,537.58/83,418.90
  6. Step 6: Final answer
    x = 65,648.39

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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.