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Finding the Fourth Proportional to 48,378.30, 66,749.67 and 30,476.22

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Solution

The fourth proportional to 48,378.30, 66,749.67 and 30,476.22 is: 42,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378.30 : 66,749.67 = 30,476.22 : x
  2. Step 2: Convert to fraction form
    48,378.30/66,749.67 = 30,476.22/x
  3. Step 3: Cross multiply
    48,378.30x = 66,749.67 × 30,476.22
  4. Step 4: Simplify right side
    48,378.30x = 2,034,277,627.85
  5. Step 5: Solve for x
    x = 2,034,277,627.85/48,378.30
  6. Step 6: Final answer
    x = 42,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.