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Finding the Fourth Proportional to 71,754.84, 107,632.50 and 24,975

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Solution

The fourth proportional to 71,754.84, 107,632.50 and 24,975 is: 37,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,754.84 : 107,632.50 = 24,975 : x
  2. Step 2: Convert to fraction form
    71,754.84/107,632.50 = 24,975/x
  3. Step 3: Cross multiply
    71,754.84x = 107,632.50 × 24,975
  4. Step 4: Simplify right side
    71,754.84x = 2,688,121,687.50
  5. Step 5: Solve for x
    x = 2,688,121,687.50/71,754.84
  6. Step 6: Final answer
    x = 37,462.58

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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.