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Finding the Fourth Proportional to 32,869.94, 49,253.06 and 19,728.50

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Solution

The fourth proportional to 32,869.94, 49,253.06 and 19,728.50 is: 29,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,869.94 : 49,253.06 = 19,728.50 : x
  2. Step 2: Convert to fraction form
    32,869.94/49,253.06 = 19,728.50/x
  3. Step 3: Cross multiply
    32,869.94x = 49,253.06 × 19,728.50
  4. Step 4: Simplify right side
    32,869.94x = 971,688,797.27
  5. Step 5: Solve for x
    x = 971,688,797.27/32,869.94
  6. Step 6: Final answer
    x = 29,561.63

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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.