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Finding the Fourth Proportional to 32,143.39, 48,227.76 and 9,958.49

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Solution

The fourth proportional to 32,143.39, 48,227.76 and 9,958.49 is: 14,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.39 : 48,227.76 = 9,958.49 : x
  2. Step 2: Convert to fraction form
    32,143.39/48,227.76 = 9,958.49/x
  3. Step 3: Cross multiply
    32,143.39x = 48,227.76 × 9,958.49
  4. Step 4: Simplify right side
    32,143.39x = 480,275,605.40
  5. Step 5: Solve for x
    x = 480,275,605.40/32,143.39
  6. Step 6: Final answer
    x = 14,941.66

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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.