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Finding the Fourth Proportional to 34,651.60, 51,944.64 and 31,570

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Solution

The fourth proportional to 34,651.60, 51,944.64 and 31,570 is: 47,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.60 : 51,944.64 = 31,570 : x
  2. Step 2: Convert to fraction form
    34,651.60/51,944.64 = 31,570/x
  3. Step 3: Cross multiply
    34,651.60x = 51,944.64 × 31,570
  4. Step 4: Simplify right side
    34,651.60x = 1,639,892,284.80
  5. Step 5: Solve for x
    x = 1,639,892,284.80/34,651.60
  6. Step 6: Final answer
    x = 47,325.15

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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.