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Finding the Fourth Proportional to 54,355.19, 81,529.14 and 14,909

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Solution

The fourth proportional to 54,355.19, 81,529.14 and 14,909 is: 22,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,355.19 : 81,529.14 = 14,909 : x
  2. Step 2: Convert to fraction form
    54,355.19/81,529.14 = 14,909/x
  3. Step 3: Cross multiply
    54,355.19x = 81,529.14 × 14,909
  4. Step 4: Simplify right side
    54,355.19x = 1,215,517,948.26
  5. Step 5: Solve for x
    x = 1,215,517,948.26/54,355.19
  6. Step 6: Final answer
    x = 22,362.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.