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Finding the Fourth Proportional to 32,191.76, 48,294.59 and 13,216.43

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Solution

The fourth proportional to 32,191.76, 48,294.59 and 13,216.43 is: 19,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.76 : 48,294.59 = 13,216.43 : x
  2. Step 2: Convert to fraction form
    32,191.76/48,294.59 = 13,216.43/x
  3. Step 3: Cross multiply
    32,191.76x = 48,294.59 × 13,216.43
  4. Step 4: Simplify right side
    32,191.76x = 638,281,760.56
  5. Step 5: Solve for x
    x = 638,281,760.56/32,191.76
  6. Step 6: Final answer
    x = 19,827.49

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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.