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Finding the Fourth Proportional to 54,809.01, 82,222.10 and 23,219.15

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Solution

The fourth proportional to 54,809.01, 82,222.10 and 23,219.15 is: 34,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.01 : 82,222.10 = 23,219.15 : x
  2. Step 2: Convert to fraction form
    54,809.01/82,222.10 = 23,219.15/x
  3. Step 3: Cross multiply
    54,809.01x = 82,222.10 × 23,219.15
  4. Step 4: Simplify right side
    54,809.01x = 1,909,126,746.01
  5. Step 5: Solve for x
    x = 1,909,126,746.01/54,809.01
  6. Step 6: Final answer
    x = 34,832.35

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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.