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Finding the Fourth Proportional to 34,652.60, 51,946.14 and 31,571

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Solution

The fourth proportional to 34,652.60, 51,946.14 and 31,571 is: 47,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.60 : 51,946.14 = 31,571 : x
  2. Step 2: Convert to fraction form
    34,652.60/51,946.14 = 31,571/x
  3. Step 3: Cross multiply
    34,652.60x = 51,946.14 × 31,571
  4. Step 4: Simplify right side
    34,652.60x = 1,639,991,585.94
  5. Step 5: Solve for x
    x = 1,639,991,585.94/34,652.60
  6. Step 6: Final answer
    x = 47,326.65

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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.