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Finding the Fourth Proportional to 70,002.50, 105,003.75 and 20,754.50

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Solution

The fourth proportional to 70,002.50, 105,003.75 and 20,754.50 is: 31,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002.50 : 105,003.75 = 20,754.50 : x
  2. Step 2: Convert to fraction form
    70,002.50/105,003.75 = 20,754.50/x
  3. Step 3: Cross multiply
    70,002.50x = 105,003.75 × 20,754.50
  4. Step 4: Simplify right side
    70,002.50x = 2,179,300,329.38
  5. Step 5: Solve for x
    x = 2,179,300,329.38/70,002.50
  6. Step 6: Final answer
    x = 31,131.75

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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.