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Finding the Fourth Proportional to 103,078.52, 154,519.36 and 32,912.28

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Solution

The fourth proportional to 103,078.52, 154,519.36 and 32,912.28 is: 49,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,078.52 : 154,519.36 = 32,912.28 : x
  2. Step 2: Convert to fraction form
    103,078.52/154,519.36 = 32,912.28/x
  3. Step 3: Cross multiply
    103,078.52x = 154,519.36 × 32,912.28
  4. Step 4: Simplify right side
    103,078.52x = 5,085,584,441.74
  5. Step 5: Solve for x
    x = 5,085,584,441.74/103,078.52
  6. Step 6: Final answer
    x = 49,337.00

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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.