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Finding the Fourth Proportional to 32,335.38, 48,502.98 and 8,961.84

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Solution

The fourth proportional to 32,335.38, 48,502.98 and 8,961.84 is: 13,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,335.38 : 48,502.98 = 8,961.84 : x
  2. Step 2: Convert to fraction form
    32,335.38/48,502.98 = 8,961.84/x
  3. Step 3: Cross multiply
    32,335.38x = 48,502.98 × 8,961.84
  4. Step 4: Simplify right side
    32,335.38x = 434,675,946.28
  5. Step 5: Solve for x
    x = 434,675,946.28/32,335.38
  6. Step 6: Final answer
    x = 13,442.74

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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.