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Finding the Fourth Proportional to 70,633.63, 105,825.90 and 37,280.22

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Solution

The fourth proportional to 70,633.63, 105,825.90 and 37,280.22 is: 55,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,633.63 : 105,825.90 = 37,280.22 : x
  2. Step 2: Convert to fraction form
    70,633.63/105,825.90 = 37,280.22/x
  3. Step 3: Cross multiply
    70,633.63x = 105,825.90 × 37,280.22
  4. Step 4: Simplify right side
    70,633.63x = 3,945,212,576.65
  5. Step 5: Solve for x
    x = 3,945,212,576.65/70,633.63
  6. Step 6: Final answer
    x = 55,854.59

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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.