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Finding the Fourth Proportional to 104,701.29, 157,049.10 and 25,816.20

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Solution

The fourth proportional to 104,701.29, 157,049.10 and 25,816.20 is: 38,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,701.29 : 157,049.10 = 25,816.20 : x
  2. Step 2: Convert to fraction form
    104,701.29/157,049.10 = 25,816.20/x
  3. Step 3: Cross multiply
    104,701.29x = 157,049.10 × 25,816.20
  4. Step 4: Simplify right side
    104,701.29x = 4,054,410,975.42
  5. Step 5: Solve for x
    x = 4,054,410,975.42/104,701.29
  6. Step 6: Final answer
    x = 38,723.60

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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.