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Finding the Fourth Proportional to 47,581.83, 65,668.32 and 33,232.68

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Solution

The fourth proportional to 47,581.83, 65,668.32 and 33,232.68 is: 45,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,581.83 : 65,668.32 = 33,232.68 : x
  2. Step 2: Convert to fraction form
    47,581.83/65,668.32 = 33,232.68/x
  3. Step 3: Cross multiply
    47,581.83x = 65,668.32 × 33,232.68
  4. Step 4: Simplify right side
    47,581.83x = 2,182,334,264.70
  5. Step 5: Solve for x
    x = 2,182,334,264.70/47,581.83
  6. Step 6: Final answer
    x = 45,864.87

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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.