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Finding the Fourth Proportional to 70,551.65, 105,862.08 and 33,114.78

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Solution

The fourth proportional to 70,551.65, 105,862.08 and 33,114.78 is: 49,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,551.65 : 105,862.08 = 33,114.78 : x
  2. Step 2: Convert to fraction form
    70,551.65/105,862.08 = 33,114.78/x
  3. Step 3: Cross multiply
    70,551.65x = 105,862.08 × 33,114.78
  4. Step 4: Simplify right side
    70,551.65x = 3,505,599,489.54
  5. Step 5: Solve for x
    x = 3,505,599,489.54/70,551.65
  6. Step 6: Final answer
    x = 49,688.42

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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.