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Finding the Fourth Proportional to 83,475.54, 125,223.84 and 30,885.48

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Solution

The fourth proportional to 83,475.54, 125,223.84 and 30,885.48 is: 46,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,475.54 : 125,223.84 = 30,885.48 : x
  2. Step 2: Convert to fraction form
    83,475.54/125,223.84 = 30,885.48/x
  3. Step 3: Cross multiply
    83,475.54x = 125,223.84 × 30,885.48
  4. Step 4: Simplify right side
    83,475.54x = 3,867,598,405.84
  5. Step 5: Solve for x
    x = 3,867,598,405.84/83,475.54
  6. Step 6: Final answer
    x = 46,332.12

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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.