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Finding the Fourth Proportional to 82,065.88, 122,991.90 and 37,053.78

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Solution

The fourth proportional to 82,065.88, 122,991.90 and 37,053.78 is: 55,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.88 : 122,991.90 = 37,053.78 : x
  2. Step 2: Convert to fraction form
    82,065.88/122,991.90 = 37,053.78/x
  3. Step 3: Cross multiply
    82,065.88x = 122,991.90 × 37,053.78
  4. Step 4: Simplify right side
    82,065.88x = 4,557,314,804.38
  5. Step 5: Solve for x
    x = 4,557,314,804.38/82,065.88
  6. Step 6: Final answer
    x = 55,532.39

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1.5x scale

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.