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Finding the Fourth Proportional to 83,770.54, 115,603.61 and 47,960.84

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Solution

The fourth proportional to 83,770.54, 115,603.61 and 47,960.84 is: 66,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770.54 : 115,603.61 = 47,960.84 : x
  2. Step 2: Convert to fraction form
    83,770.54/115,603.61 = 47,960.84/x
  3. Step 3: Cross multiply
    83,770.54x = 115,603.61 × 47,960.84
  4. Step 4: Simplify right side
    83,770.54x = 5,544,446,291.84
  5. Step 5: Solve for x
    x = 5,544,446,291.84/83,770.54
  6. Step 6: Final answer
    x = 66,186.11

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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.