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Finding the Fourth Proportional to 70,511.80, 105,740.26 and 35,427

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Solution

The fourth proportional to 70,511.80, 105,740.26 and 35,427 is: 53,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511.80 : 105,740.26 = 35,427 : x
  2. Step 2: Convert to fraction form
    70,511.80/105,740.26 = 35,427/x
  3. Step 3: Cross multiply
    70,511.80x = 105,740.26 × 35,427
  4. Step 4: Simplify right side
    70,511.80x = 3,746,060,191.02
  5. Step 5: Solve for x
    x = 3,746,060,191.02/70,511.80
  6. Step 6: Final answer
    x = 53,126.71

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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.