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Finding the Fourth Proportional to 65,251, 90,046.47 and 35,443

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Solution

The fourth proportional to 65,251, 90,046.47 and 35,443 is: 48,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251 : 90,046.47 = 35,443 : x
  2. Step 2: Convert to fraction form
    65,251/90,046.47 = 35,443/x
  3. Step 3: Cross multiply
    65,251x = 90,046.47 × 35,443
  4. Step 4: Simplify right side
    65,251x = 3,191,517,036.21
  5. Step 5: Solve for x
    x = 3,191,517,036.21/65,251
  6. Step 6: Final answer
    x = 48,911.39

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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.