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Finding the Fourth Proportional to 32,201, 44,422.26 and 22,774.76

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Solution

The fourth proportional to 32,201, 44,422.26 and 22,774.76 is: 31,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201 : 44,422.26 = 22,774.76 : x
  2. Step 2: Convert to fraction form
    32,201/44,422.26 = 22,774.76/x
  3. Step 3: Cross multiply
    32,201x = 44,422.26 × 22,774.76
  4. Step 4: Simplify right side
    32,201x = 1,011,706,310.16
  5. Step 5: Solve for x
    x = 1,011,706,310.16/32,201
  6. Step 6: Final answer
    x = 31,418.47

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