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Finding the Fourth Proportional to 32,335.44, 48,502.80 and 8,961

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Solution

The fourth proportional to 32,335.44, 48,502.80 and 8,961 is: 13,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,335.44 : 48,502.80 = 8,961 : x
  2. Step 2: Convert to fraction form
    32,335.44/48,502.80 = 8,961/x
  3. Step 3: Cross multiply
    32,335.44x = 48,502.80 × 8,961
  4. Step 4: Simplify right side
    32,335.44x = 434,633,590.80
  5. Step 5: Solve for x
    x = 434,633,590.80/32,335.44
  6. Step 6: Final answer
    x = 13,441.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.