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Finding the Fourth Proportional to 70,511.69, 105,767.90 and 23,764.97

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Solution

The fourth proportional to 70,511.69, 105,767.90 and 23,764.97 is: 35,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511.69 : 105,767.90 = 23,764.97 : x
  2. Step 2: Convert to fraction form
    70,511.69/105,767.90 = 23,764.97/x
  3. Step 3: Cross multiply
    70,511.69x = 105,767.90 × 23,764.97
  4. Step 4: Simplify right side
    70,511.69x = 2,513,570,970.46
  5. Step 5: Solve for x
    x = 2,513,570,970.46/70,511.69
  6. Step 6: Final answer
    x = 35,647.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.