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Finding the Fourth Proportional to 83,888.48, 115,766.63 and 45,648.33

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Solution

The fourth proportional to 83,888.48, 115,766.63 and 45,648.33 is: 62,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.48 : 115,766.63 = 45,648.33 : x
  2. Step 2: Convert to fraction form
    83,888.48/115,766.63 = 45,648.33/x
  3. Step 3: Cross multiply
    83,888.48x = 115,766.63 × 45,648.33
  4. Step 4: Simplify right side
    83,888.48x = 5,284,553,100.99
  5. Step 5: Solve for x
    x = 5,284,553,100.99/83,888.48
  6. Step 6: Final answer
    x = 62,994.98

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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.