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Finding the Fourth Proportional to 66,471.22, 91,746.03 and 38,193.31

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Solution

The fourth proportional to 66,471.22, 91,746.03 and 38,193.31 is: 52,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,471.22 : 91,746.03 = 38,193.31 : x
  2. Step 2: Convert to fraction form
    66,471.22/91,746.03 = 38,193.31/x
  3. Step 3: Cross multiply
    66,471.22x = 91,746.03 × 38,193.31
  4. Step 4: Simplify right side
    66,471.22x = 3,504,084,565.06
  5. Step 5: Solve for x
    x = 3,504,084,565.06/66,471.22
  6. Step 6: Final answer
    x = 52,715.82

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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.