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Finding the Fourth Proportional to 48,940.10, 73,412.94 and 13,877

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Solution

The fourth proportional to 48,940.10, 73,412.94 and 13,877 is: 20,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,940.10 : 73,412.94 = 13,877 : x
  2. Step 2: Convert to fraction form
    48,940.10/73,412.94 = 13,877/x
  3. Step 3: Cross multiply
    48,940.10x = 73,412.94 × 13,877
  4. Step 4: Simplify right side
    48,940.10x = 1,018,751,368.38
  5. Step 5: Solve for x
    x = 1,018,751,368.38/48,940.10
  6. Step 6: Final answer
    x = 20,816.29

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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.