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Finding the Fourth Proportional to 52,591.47, 78,824.45 and 30,357.87

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Solution

The fourth proportional to 52,591.47, 78,824.45 and 30,357.87 is: 45,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591.47 : 78,824.45 = 30,357.87 : x
  2. Step 2: Convert to fraction form
    52,591.47/78,824.45 = 30,357.87/x
  3. Step 3: Cross multiply
    52,591.47x = 78,824.45 × 30,357.87
  4. Step 4: Simplify right side
    52,591.47x = 2,392,942,011.80
  5. Step 5: Solve for x
    x = 2,392,942,011.80/52,591.47
  6. Step 6: Final answer
    x = 45,500.58

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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.