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Finding the Fourth Proportional to 82,122.01, 123,201.48 and 29,531.50

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Solution

The fourth proportional to 82,122.01, 123,201.48 and 29,531.50 is: 44,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.01 : 123,201.48 = 29,531.50 : x
  2. Step 2: Convert to fraction form
    82,122.01/123,201.48 = 29,531.50/x
  3. Step 3: Cross multiply
    82,122.01x = 123,201.48 × 29,531.50
  4. Step 4: Simplify right side
    82,122.01x = 3,638,324,506.62
  5. Step 5: Solve for x
    x = 3,638,324,506.62/82,122.01
  6. Step 6: Final answer
    x = 44,303.89

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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.