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Finding the Fourth Proportional to 47,244.40, 65,201.92 and 35,287

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Solution

The fourth proportional to 47,244.40, 65,201.92 and 35,287 is: 48,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,244.40 : 65,201.92 = 35,287 : x
  2. Step 2: Convert to fraction form
    47,244.40/65,201.92 = 35,287/x
  3. Step 3: Cross multiply
    47,244.40x = 65,201.92 × 35,287
  4. Step 4: Simplify right side
    47,244.40x = 2,300,780,151.04
  5. Step 5: Solve for x
    x = 2,300,780,151.04/47,244.40
  6. Step 6: Final answer
    x = 48,699.53

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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.