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Finding the Fourth Proportional to 52,221.87, 78,359.81 and 25,926.03

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Solution

The fourth proportional to 52,221.87, 78,359.81 and 25,926.03 is: 38,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221.87 : 78,359.81 = 25,926.03 : x
  2. Step 2: Convert to fraction form
    52,221.87/78,359.81 = 25,926.03/x
  3. Step 3: Cross multiply
    52,221.87x = 78,359.81 × 25,926.03
  4. Step 4: Simplify right side
    52,221.87x = 2,031,558,655.22
  5. Step 5: Solve for x
    x = 2,031,558,655.22/52,221.87
  6. Step 6: Final answer
    x = 38,902.45

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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.