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Finding the Fourth Proportional to 98,614.50, 147,921.75 and 32,950.50

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Solution

The fourth proportional to 98,614.50, 147,921.75 and 32,950.50 is: 49,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,614.50 : 147,921.75 = 32,950.50 : x
  2. Step 2: Convert to fraction form
    98,614.50/147,921.75 = 32,950.50/x
  3. Step 3: Cross multiply
    98,614.50x = 147,921.75 × 32,950.50
  4. Step 4: Simplify right side
    98,614.50x = 4,874,095,623.38
  5. Step 5: Solve for x
    x = 4,874,095,623.38/98,614.50
  6. Step 6: Final answer
    x = 49,425.75

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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.