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Finding the Fourth Proportional to 32,278.43, 48,417.60 and 11,218.47

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Solution

The fourth proportional to 32,278.43, 48,417.60 and 11,218.47 is: 16,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.43 : 48,417.60 = 11,218.47 : x
  2. Step 2: Convert to fraction form
    32,278.43/48,417.60 = 11,218.47/x
  3. Step 3: Cross multiply
    32,278.43x = 48,417.60 × 11,218.47
  4. Step 4: Simplify right side
    32,278.43x = 543,171,393.07
  5. Step 5: Solve for x
    x = 543,171,393.07/32,278.43
  6. Step 6: Final answer
    x = 16,827.69

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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.