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Finding the Fourth Proportional to 34,250.42, 51,404.79 and 13,488.50

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Solution

The fourth proportional to 34,250.42, 51,404.79 and 13,488.50 is: 20,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,250.42 : 51,404.79 = 13,488.50 : x
  2. Step 2: Convert to fraction form
    34,250.42/51,404.79 = 13,488.50/x
  3. Step 3: Cross multiply
    34,250.42x = 51,404.79 × 13,488.50
  4. Step 4: Simplify right side
    34,250.42x = 693,373,509.92
  5. Step 5: Solve for x
    x = 693,373,509.92/34,250.42
  6. Step 6: Final answer
    x = 20,244.23

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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.