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Finding the Fourth Proportional to 32,493.16, 48,718.13 and 11,713.96

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Solution

The fourth proportional to 32,493.16, 48,718.13 and 11,713.96 is: 17,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.16 : 48,718.13 = 11,713.96 : x
  2. Step 2: Convert to fraction form
    32,493.16/48,718.13 = 11,713.96/x
  3. Step 3: Cross multiply
    32,493.16x = 48,718.13 × 11,713.96
  4. Step 4: Simplify right side
    32,493.16x = 570,682,133.58
  5. Step 5: Solve for x
    x = 570,682,133.58/32,493.16
  6. Step 6: Final answer
    x = 17,563.15

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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.