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Finding the Fourth Proportional to 55,586.16, 83,407.32 and 27,882

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Solution

The fourth proportional to 55,586.16, 83,407.32 and 27,882 is: 41,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,586.16 : 83,407.32 = 27,882 : x
  2. Step 2: Convert to fraction form
    55,586.16/83,407.32 = 27,882/x
  3. Step 3: Cross multiply
    55,586.16x = 83,407.32 × 27,882
  4. Step 4: Simplify right side
    55,586.16x = 2,325,562,896.24
  5. Step 5: Solve for x
    x = 2,325,562,896.24/55,586.16
  6. Step 6: Final answer
    x = 41,837.08

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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.