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Finding the Fourth Proportional to 84,078.30, 126,084.66 and 36,707.88

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Solution

The fourth proportional to 84,078.30, 126,084.66 and 36,707.88 is: 55,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078.30 : 126,084.66 = 36,707.88 : x
  2. Step 2: Convert to fraction form
    84,078.30/126,084.66 = 36,707.88/x
  3. Step 3: Cross multiply
    84,078.30x = 126,084.66 × 36,707.88
  4. Step 4: Simplify right side
    84,078.30x = 4,628,300,569.12
  5. Step 5: Solve for x
    x = 4,628,300,569.12/84,078.30
  6. Step 6: Final answer
    x = 55,047.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.