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Finding the Fourth Proportional to 32,132, 48,194.76 and 14,597.12

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Solution

The fourth proportional to 32,132, 48,194.76 and 14,597.12 is: 21,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132 : 48,194.76 = 14,597.12 : x
  2. Step 2: Convert to fraction form
    32,132/48,194.76 = 14,597.12/x
  3. Step 3: Cross multiply
    32,132x = 48,194.76 × 14,597.12
  4. Step 4: Simplify right side
    32,132x = 703,504,695.09
  5. Step 5: Solve for x
    x = 703,504,695.09/32,132
  6. Step 6: Final answer
    x = 21,894.21

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