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Finding the Fourth Proportional to 55,410, 83,116.62 and 13,857

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Solution

The fourth proportional to 55,410, 83,116.62 and 13,857 is: 20,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410 : 83,116.62 = 13,857 : x
  2. Step 2: Convert to fraction form
    55,410/83,116.62 = 13,857/x
  3. Step 3: Cross multiply
    55,410x = 83,116.62 × 13,857
  4. Step 4: Simplify right side
    55,410x = 1,151,747,003.34
  5. Step 5: Solve for x
    x = 1,151,747,003.34/55,410
  6. Step 6: Final answer
    x = 20,785.91

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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.