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Finding the Fourth Proportional to 38,102.50, 52,581.45 and 23,198.50

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Solution

The fourth proportional to 38,102.50, 52,581.45 and 23,198.50 is: 32,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.50 : 52,581.45 = 23,198.50 : x
  2. Step 2: Convert to fraction form
    38,102.50/52,581.45 = 23,198.50/x
  3. Step 3: Cross multiply
    38,102.50x = 52,581.45 × 23,198.50
  4. Step 4: Simplify right side
    38,102.50x = 1,219,810,767.83
  5. Step 5: Solve for x
    x = 1,219,810,767.83/38,102.50
  6. Step 6: Final answer
    x = 32,013.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.