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Finding the Fourth Proportional to 45,648.46, 68,416.14 and 25,867.03

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Solution

The fourth proportional to 45,648.46, 68,416.14 and 25,867.03 is: 38,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,648.46 : 68,416.14 = 25,867.03 : x
  2. Step 2: Convert to fraction form
    45,648.46/68,416.14 = 25,867.03/x
  3. Step 3: Cross multiply
    45,648.46x = 68,416.14 × 25,867.03
  4. Step 4: Simplify right side
    45,648.46x = 1,769,722,345.86
  5. Step 5: Solve for x
    x = 1,769,722,345.86/45,648.46
  6. Step 6: Final answer
    x = 38,768.50

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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.