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Finding the Fourth Proportional to 32,679.14, 49,025.07 and 10,490.81

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Solution

The fourth proportional to 32,679.14, 49,025.07 and 10,490.81 is: 15,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.14 : 49,025.07 = 10,490.81 : x
  2. Step 2: Convert to fraction form
    32,679.14/49,025.07 = 10,490.81/x
  3. Step 3: Cross multiply
    32,679.14x = 49,025.07 × 10,490.81
  4. Step 4: Simplify right side
    32,679.14x = 514,312,449.48
  5. Step 5: Solve for x
    x = 514,312,449.48/32,679.14
  6. Step 6: Final answer
    x = 15,738.25

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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.