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Finding the Fourth Proportional to 54,810.76, 82,224.72 and 23,220.88

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Solution

The fourth proportional to 54,810.76, 82,224.72 and 23,220.88 is: 34,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810.76 : 82,224.72 = 23,220.88 : x
  2. Step 2: Convert to fraction form
    54,810.76/82,224.72 = 23,220.88/x
  3. Step 3: Cross multiply
    54,810.76x = 82,224.72 × 23,220.88
  4. Step 4: Simplify right side
    54,810.76x = 1,909,330,356.15
  5. Step 5: Solve for x
    x = 1,909,330,356.15/54,810.76
  6. Step 6: Final answer
    x = 34,834.95

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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.