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Finding the Fourth Proportional to 27,746.48, 41,620.02 and 8,025.22

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Solution

The fourth proportional to 27,746.48, 41,620.02 and 8,025.22 is: 12,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.48 : 41,620.02 = 8,025.22 : x
  2. Step 2: Convert to fraction form
    27,746.48/41,620.02 = 8,025.22/x
  3. Step 3: Cross multiply
    27,746.48x = 41,620.02 × 8,025.22
  4. Step 4: Simplify right side
    27,746.48x = 334,009,816.90
  5. Step 5: Solve for x
    x = 334,009,816.90/27,746.48
  6. Step 6: Final answer
    x = 12,037.92

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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.