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Finding the Fourth Proportional to 73,141.34, 109,711.20 and 23,220.10

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Solution

The fourth proportional to 73,141.34, 109,711.20 and 23,220.10 is: 34,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141.34 : 109,711.20 = 23,220.10 : x
  2. Step 2: Convert to fraction form
    73,141.34/109,711.20 = 23,220.10/x
  3. Step 3: Cross multiply
    73,141.34x = 109,711.20 × 23,220.10
  4. Step 4: Simplify right side
    73,141.34x = 2,547,504,486.56
  5. Step 5: Solve for x
    x = 2,547,504,486.56/73,141.34
  6. Step 6: Final answer
    x = 34,829.89

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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.