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Finding the Fourth Proportional to 27,652.32, 41,478.63 and 6,875.82

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Solution

The fourth proportional to 27,652.32, 41,478.63 and 6,875.82 is: 10,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.32 : 41,478.63 = 6,875.82 : x
  2. Step 2: Convert to fraction form
    27,652.32/41,478.63 = 6,875.82/x
  3. Step 3: Cross multiply
    27,652.32x = 41,478.63 × 6,875.82
  4. Step 4: Simplify right side
    27,652.32x = 285,199,593.73
  5. Step 5: Solve for x
    x = 285,199,593.73/27,652.32
  6. Step 6: Final answer
    x = 10,313.77

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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.