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Finding the Fourth Proportional to 45,778.16, 68,652.36 and 14,606

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Solution

The fourth proportional to 45,778.16, 68,652.36 and 14,606 is: 21,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,778.16 : 68,652.36 = 14,606 : x
  2. Step 2: Convert to fraction form
    45,778.16/68,652.36 = 14,606/x
  3. Step 3: Cross multiply
    45,778.16x = 68,652.36 × 14,606
  4. Step 4: Simplify right side
    45,778.16x = 1,002,736,370.16
  5. Step 5: Solve for x
    x = 1,002,736,370.16/45,778.16
  6. Step 6: Final answer
    x = 21,904.25

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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.