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Finding the Fourth Proportional to 32,674.68, 49,019.40 and 11,898

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Solution

The fourth proportional to 32,674.68, 49,019.40 and 11,898 is: 17,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.68 : 49,019.40 = 11,898 : x
  2. Step 2: Convert to fraction form
    32,674.68/49,019.40 = 11,898/x
  3. Step 3: Cross multiply
    32,674.68x = 49,019.40 × 11,898
  4. Step 4: Simplify right side
    32,674.68x = 583,232,821.20
  5. Step 5: Solve for x
    x = 583,232,821.20/32,674.68
  6. Step 6: Final answer
    x = 17,849.69

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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.