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Finding the Fourth Proportional to 25,309, 37,930.14 and 22,006.36

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Solution

The fourth proportional to 25,309, 37,930.14 and 22,006.36 is: 32,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309 : 37,930.14 = 22,006.36 : x
  2. Step 2: Convert to fraction form
    25,309/37,930.14 = 22,006.36/x
  3. Step 3: Cross multiply
    25,309x = 37,930.14 × 22,006.36
  4. Step 4: Simplify right side
    25,309x = 834,704,315.69
  5. Step 5: Solve for x
    x = 834,704,315.69/25,309
  6. Step 6: Final answer
    x = 32,980.53

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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.