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Finding the Fourth Proportional to 115,286.76, 172,955.76 and 35,335.80

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Solution

The fourth proportional to 115,286.76, 172,955.76 and 35,335.80 is: 53,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,286.76 : 172,955.76 = 35,335.80 : x
  2. Step 2: Convert to fraction form
    115,286.76/172,955.76 = 35,335.80/x
  3. Step 3: Cross multiply
    115,286.76x = 172,955.76 × 35,335.80
  4. Step 4: Simplify right side
    115,286.76x = 6,111,530,144.21
  5. Step 5: Solve for x
    x = 6,111,530,144.21/115,286.76
  6. Step 6: Final answer
    x = 53,011.55

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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.