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Finding the Fourth Proportional to 32,005.40, 47,977.11 and 17,972.15

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Solution

The fourth proportional to 32,005.40, 47,977.11 and 17,972.15 is: 26,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.40 : 47,977.11 = 17,972.15 : x
  2. Step 2: Convert to fraction form
    32,005.40/47,977.11 = 17,972.15/x
  3. Step 3: Cross multiply
    32,005.40x = 47,977.11 × 17,972.15
  4. Step 4: Simplify right side
    32,005.40x = 862,251,577.60
  5. Step 5: Solve for x
    x = 862,251,577.60/32,005.40
  6. Step 6: Final answer
    x = 26,940.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.