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Finding the Fourth Proportional to 55,280.64, 76,288.16 and 31,408

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Solution

The fourth proportional to 55,280.64, 76,288.16 and 31,408 is: 43,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,280.64 : 76,288.16 = 31,408 : x
  2. Step 2: Convert to fraction form
    55,280.64/76,288.16 = 31,408/x
  3. Step 3: Cross multiply
    55,280.64x = 76,288.16 × 31,408
  4. Step 4: Simplify right side
    55,280.64x = 2,396,058,529.28
  5. Step 5: Solve for x
    x = 2,396,058,529.28/55,280.64
  6. Step 6: Final answer
    x = 43,343.54

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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.