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Finding the Fourth Proportional to 70,734.07, 106,098.58 and 18,144.07

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Solution

The fourth proportional to 70,734.07, 106,098.58 and 18,144.07 is: 27,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.07 : 106,098.58 = 18,144.07 : x
  2. Step 2: Convert to fraction form
    70,734.07/106,098.58 = 18,144.07/x
  3. Step 3: Cross multiply
    70,734.07x = 106,098.58 × 18,144.07
  4. Step 4: Simplify right side
    70,734.07x = 1,925,060,062.42
  5. Step 5: Solve for x
    x = 1,925,060,062.42/70,734.07
  6. Step 6: Final answer
    x = 27,215.46

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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.