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Finding the Fourth Proportional to 82,193.70, 123,254.10 and 37,834.05

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Solution

The fourth proportional to 82,193.70, 123,254.10 and 37,834.05 is: 56,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.70 : 123,254.10 = 37,834.05 : x
  2. Step 2: Convert to fraction form
    82,193.70/123,254.10 = 37,834.05/x
  3. Step 3: Cross multiply
    82,193.70x = 123,254.10 × 37,834.05
  4. Step 4: Simplify right side
    82,193.70x = 4,663,201,782.11
  5. Step 5: Solve for x
    x = 4,663,201,782.11/82,193.70
  6. Step 6: Final answer
    x = 56,734.30

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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.