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Finding the Fourth Proportional to 70,095.69, 105,250.28 and 67,824

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Solution

The fourth proportional to 70,095.69, 105,250.28 and 67,824 is: 101,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,095.69 : 105,250.28 = 67,824 : x
  2. Step 2: Convert to fraction form
    70,095.69/105,250.28 = 67,824/x
  3. Step 3: Cross multiply
    70,095.69x = 105,250.28 × 67,824
  4. Step 4: Simplify right side
    70,095.69x = 7,138,494,651.60
  5. Step 5: Solve for x
    x = 7,138,494,651.60/70,095.69
  6. Step 6: Final answer
    x = 101,839.28

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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.