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Finding the Fourth Proportional to 47,765.92, 65,899.92 and 32,836

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Solution

The fourth proportional to 47,765.92, 65,899.92 and 32,836 is: 45,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.92 : 65,899.92 = 32,836 : x
  2. Step 2: Convert to fraction form
    47,765.92/65,899.92 = 32,836/x
  3. Step 3: Cross multiply
    47,765.92x = 65,899.92 × 32,836
  4. Step 4: Simplify right side
    47,765.92x = 2,163,889,773.12
  5. Step 5: Solve for x
    x = 2,163,889,773.12/47,765.92
  6. Step 6: Final answer
    x = 45,301.96

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1.5x scale

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.