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Finding the Fourth Proportional to 55,856.64, 77,082.09 and 31,982.16

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Solution

The fourth proportional to 55,856.64, 77,082.09 and 31,982.16 is: 44,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856.64 : 77,082.09 = 31,982.16 : x
  2. Step 2: Convert to fraction form
    55,856.64/77,082.09 = 31,982.16/x
  3. Step 3: Cross multiply
    55,856.64x = 77,082.09 × 31,982.16
  4. Step 4: Simplify right side
    55,856.64x = 2,465,251,735.51
  5. Step 5: Solve for x
    x = 2,465,251,735.51/55,856.64
  6. Step 6: Final answer
    x = 44,135.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.