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Finding the Fourth Proportional to 47,764.40, 71,578.70 and 35,185.50

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Solution

The fourth proportional to 47,764.40, 71,578.70 and 35,185.50 is: 52,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.40 : 71,578.70 = 35,185.50 : x
  2. Step 2: Convert to fraction form
    47,764.40/71,578.70 = 35,185.50/x
  3. Step 3: Cross multiply
    47,764.40x = 71,578.70 × 35,185.50
  4. Step 4: Simplify right side
    47,764.40x = 2,518,532,172.92
  5. Step 5: Solve for x
    x = 2,518,532,172.92/47,764.40
  6. Step 6: Final answer
    x = 52,728.23

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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.