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Finding the Fourth Proportional to 83,806.10, 115,654.38 and 45,567.82

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Solution

The fourth proportional to 83,806.10, 115,654.38 and 45,567.82 is: 62,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,806.10 : 115,654.38 = 45,567.82 : x
  2. Step 2: Convert to fraction form
    83,806.10/115,654.38 = 45,567.82/x
  3. Step 3: Cross multiply
    83,806.10x = 115,654.38 × 45,567.82
  4. Step 4: Simplify right side
    83,806.10x = 5,270,117,970.05
  5. Step 5: Solve for x
    x = 5,270,117,970.05/83,806.10
  6. Step 6: Final answer
    x = 62,884.66

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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.