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Finding the Fourth Proportional to 45,021.78, 67,533.54 and 13,857

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Solution

The fourth proportional to 45,021.78, 67,533.54 and 13,857 is: 20,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,021.78 : 67,533.54 = 13,857 : x
  2. Step 2: Convert to fraction form
    45,021.78/67,533.54 = 13,857/x
  3. Step 3: Cross multiply
    45,021.78x = 67,533.54 × 13,857
  4. Step 4: Simplify right side
    45,021.78x = 935,812,263.78
  5. Step 5: Solve for x
    x = 935,812,263.78/45,021.78
  6. Step 6: Final answer
    x = 20,785.77

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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.