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Finding the Fourth Proportional to 32,902.80, 45,377.16 and 23,323.74

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Solution

The fourth proportional to 32,902.80, 45,377.16 and 23,323.74 is: 32,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.80 : 45,377.16 = 23,323.74 : x
  2. Step 2: Convert to fraction form
    32,902.80/45,377.16 = 23,323.74/x
  3. Step 3: Cross multiply
    32,902.80x = 45,377.16 × 23,323.74
  4. Step 4: Simplify right side
    32,902.80x = 1,058,365,081.78
  5. Step 5: Solve for x
    x = 1,058,365,081.78/32,902.80
  6. Step 6: Final answer
    x = 32,166.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.