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Finding the Fourth Proportional to 83,835.80, 115,693.88 and 45,595.80

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Solution

The fourth proportional to 83,835.80, 115,693.88 and 45,595.80 is: 62,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,835.80 : 115,693.88 = 45,595.80 : x
  2. Step 2: Convert to fraction form
    83,835.80/115,693.88 = 45,595.80/x
  3. Step 3: Cross multiply
    83,835.80x = 115,693.88 × 45,595.80
  4. Step 4: Simplify right side
    83,835.80x = 5,275,155,013.70
  5. Step 5: Solve for x
    x = 5,275,155,013.70/83,835.80
  6. Step 6: Final answer
    x = 62,922.46

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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.