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Finding the Fourth Proportional to 32,647.57, 48,989.80 and 13,925.82

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Solution

The fourth proportional to 32,647.57, 48,989.80 and 13,925.82 is: 20,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.57 : 48,989.80 = 13,925.82 : x
  2. Step 2: Convert to fraction form
    32,647.57/48,989.80 = 13,925.82/x
  3. Step 3: Cross multiply
    32,647.57x = 48,989.80 × 13,925.82
  4. Step 4: Simplify right side
    32,647.57x = 682,223,337.76
  5. Step 5: Solve for x
    x = 682,223,337.76/32,647.57
  6. Step 6: Final answer
    x = 20,896.61

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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.