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Finding the Fourth Proportional to 32,392.04, 48,578.67 and 13,676.31

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Solution

The fourth proportional to 32,392.04, 48,578.67 and 13,676.31 is: 20,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,392.04 : 48,578.67 = 13,676.31 : x
  2. Step 2: Convert to fraction form
    32,392.04/48,578.67 = 13,676.31/x
  3. Step 3: Cross multiply
    32,392.04x = 48,578.67 × 13,676.31
  4. Step 4: Simplify right side
    32,392.04x = 664,376,950.31
  5. Step 5: Solve for x
    x = 664,376,950.31/32,392.04
  6. Step 6: Final answer
    x = 20,510.50

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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.