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Finding the Fourth Proportional to 32,205.13, 44,422.63 and 23,265.77

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Solution

The fourth proportional to 32,205.13, 44,422.63 and 23,265.77 is: 32,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.13 : 44,422.63 = 23,265.77 : x
  2. Step 2: Convert to fraction form
    32,205.13/44,422.63 = 23,265.77/x
  3. Step 3: Cross multiply
    32,205.13x = 44,422.63 × 23,265.77
  4. Step 4: Simplify right side
    32,205.13x = 1,033,526,412.10
  5. Step 5: Solve for x
    x = 1,033,526,412.10/32,205.13
  6. Step 6: Final answer
    x = 32,091.98

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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.