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Finding the Fourth Proportional to 54,059.15, 81,117.81 and 22,491

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Solution

The fourth proportional to 54,059.15, 81,117.81 and 22,491 is: 33,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,059.15 : 81,117.81 = 22,491 : x
  2. Step 2: Convert to fraction form
    54,059.15/81,117.81 = 22,491/x
  3. Step 3: Cross multiply
    54,059.15x = 81,117.81 × 22,491
  4. Step 4: Simplify right side
    54,059.15x = 1,824,420,664.71
  5. Step 5: Solve for x
    x = 1,824,420,664.71/54,059.15
  6. Step 6: Final answer
    x = 33,748.60

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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.