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Finding the Fourth Proportional to 32,243.63, 48,348 and 11,182.12

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Solution

The fourth proportional to 32,243.63, 48,348 and 11,182.12 is: 16,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243.63 : 48,348 = 11,182.12 : x
  2. Step 2: Convert to fraction form
    32,243.63/48,348 = 11,182.12/x
  3. Step 3: Cross multiply
    32,243.63x = 48,348 × 11,182.12
  4. Step 4: Simplify right side
    32,243.63x = 540,633,016.89
  5. Step 5: Solve for x
    x = 540,633,016.89/32,243.63
  6. Step 6: Final answer
    x = 16,767.13

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Why These Related Problems?

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