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Finding the Fourth Proportional to 32,895.71, 49,315.89 and 13,163.50

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Solution

The fourth proportional to 32,895.71, 49,315.89 and 13,163.50 is: 19,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895.71 : 49,315.89 = 13,163.50 : x
  2. Step 2: Convert to fraction form
    32,895.71/49,315.89 = 13,163.50/x
  3. Step 3: Cross multiply
    32,895.71x = 49,315.89 × 13,163.50
  4. Step 4: Simplify right side
    32,895.71x = 649,169,718.02
  5. Step 5: Solve for x
    x = 649,169,718.02/32,895.71
  6. Step 6: Final answer
    x = 19,734.18

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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.