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Finding the Fourth Proportional to 70,614.75, 105,922.04 and 18,024.24

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Solution

The fourth proportional to 70,614.75, 105,922.04 and 18,024.24 is: 27,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614.75 : 105,922.04 = 18,024.24 : x
  2. Step 2: Convert to fraction form
    70,614.75/105,922.04 = 18,024.24/x
  3. Step 3: Cross multiply
    70,614.75x = 105,922.04 × 18,024.24
  4. Step 4: Simplify right side
    70,614.75x = 1,909,164,180.13
  5. Step 5: Solve for x
    x = 1,909,164,180.13/70,614.75
  6. Step 6: Final answer
    x = 27,036.34

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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.