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Finding the Fourth Proportional to 32,865.45, 49,262.63 and 13,122.30

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Solution

The fourth proportional to 32,865.45, 49,262.63 and 13,122.30 is: 19,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.45 : 49,262.63 = 13,122.30 : x
  2. Step 2: Convert to fraction form
    32,865.45/49,262.63 = 13,122.30/x
  3. Step 3: Cross multiply
    32,865.45x = 49,262.63 × 13,122.30
  4. Step 4: Simplify right side
    32,865.45x = 646,438,944.04
  5. Step 5: Solve for x
    x = 646,438,944.04/32,865.45
  6. Step 6: Final answer
    x = 19,669.26

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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.