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Finding the Fourth Proportional to 32,076.14, 44,263.28 and 17,735.14

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Solution

The fourth proportional to 32,076.14, 44,263.28 and 17,735.14 is: 24,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.14 : 44,263.28 = 17,735.14 : x
  2. Step 2: Convert to fraction form
    32,076.14/44,263.28 = 17,735.14/x
  3. Step 3: Cross multiply
    32,076.14x = 44,263.28 × 17,735.14
  4. Step 4: Simplify right side
    32,076.14x = 785,015,467.66
  5. Step 5: Solve for x
    x = 785,015,467.66/32,076.14
  6. Step 6: Final answer
    x = 24,473.50

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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.