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Finding the Fourth Proportional to 32,767.56, 49,162.20 and 13,040.80

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Solution

The fourth proportional to 32,767.56, 49,162.20 and 13,040.80 is: 19,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.56 : 49,162.20 = 13,040.80 : x
  2. Step 2: Convert to fraction form
    32,767.56/49,162.20 = 13,040.80/x
  3. Step 3: Cross multiply
    32,767.56x = 49,162.20 × 13,040.80
  4. Step 4: Simplify right side
    32,767.56x = 641,114,417.76
  5. Step 5: Solve for x
    x = 641,114,417.76/32,767.56
  6. Step 6: Final answer
    x = 19,565.52

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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.