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Finding the Fourth Proportional to 32,953.14, 49,449.15 and 12,191.22

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Solution

The fourth proportional to 32,953.14, 49,449.15 and 12,191.22 is: 18,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.14 : 49,449.15 = 12,191.22 : x
  2. Step 2: Convert to fraction form
    32,953.14/49,449.15 = 12,191.22/x
  3. Step 3: Cross multiply
    32,953.14x = 49,449.15 × 12,191.22
  4. Step 4: Simplify right side
    32,953.14x = 602,845,466.46
  5. Step 5: Solve for x
    x = 602,845,466.46/32,953.14
  6. Step 6: Final answer
    x = 18,294.02

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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.