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Finding the Fourth Proportional to 32,024.64, 47,826.72 and 27,294.24

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Solution

The fourth proportional to 32,024.64, 47,826.72 and 27,294.24 is: 40,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.64 : 47,826.72 = 27,294.24 : x
  2. Step 2: Convert to fraction form
    32,024.64/47,826.72 = 27,294.24/x
  3. Step 3: Cross multiply
    32,024.64x = 47,826.72 × 27,294.24
  4. Step 4: Simplify right side
    32,024.64x = 1,305,393,974.09
  5. Step 5: Solve for x
    x = 1,305,393,974.09/32,024.64
  6. Step 6: Final answer
    x = 40,762.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.