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Finding the Fourth Proportional to 32,102.30, 48,394.04 and 29,961.48

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Solution

The fourth proportional to 32,102.30, 48,394.04 and 29,961.48 is: 45,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.30 : 48,394.04 = 29,961.48 : x
  2. Step 2: Convert to fraction form
    32,102.30/48,394.04 = 29,961.48/x
  3. Step 3: Cross multiply
    32,102.30x = 48,394.04 × 29,961.48
  4. Step 4: Simplify right side
    32,102.30x = 1,449,957,061.58
  5. Step 5: Solve for x
    x = 1,449,957,061.58/32,102.30
  6. Step 6: Final answer
    x = 45,166.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.