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Finding the Fourth Proportional to 32,983.50, 49,475.25 and 14,515.50

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Solution

The fourth proportional to 32,983.50, 49,475.25 and 14,515.50 is: 21,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.50 : 49,475.25 = 14,515.50 : x
  2. Step 2: Convert to fraction form
    32,983.50/49,475.25 = 14,515.50/x
  3. Step 3: Cross multiply
    32,983.50x = 49,475.25 × 14,515.50
  4. Step 4: Simplify right side
    32,983.50x = 718,157,991.38
  5. Step 5: Solve for x
    x = 718,157,991.38/32,983.50
  6. Step 6: Final answer
    x = 21,773.25

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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.