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Finding the Fourth Proportional to 32,884.57, 49,327.30 and 10,698.06

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Solution

The fourth proportional to 32,884.57, 49,327.30 and 10,698.06 is: 16,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.57 : 49,327.30 = 10,698.06 : x
  2. Step 2: Convert to fraction form
    32,884.57/49,327.30 = 10,698.06/x
  3. Step 3: Cross multiply
    32,884.57x = 49,327.30 × 10,698.06
  4. Step 4: Simplify right side
    32,884.57x = 527,706,415.04
  5. Step 5: Solve for x
    x = 527,706,415.04/32,884.57
  6. Step 6: Final answer
    x = 16,047.23

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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.