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Finding the Fourth Proportional to 25,178.02, 37,772.51 and 7,649.22

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Solution

The fourth proportional to 25,178.02, 37,772.51 and 7,649.22 is: 11,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.02 : 37,772.51 = 7,649.22 : x
  2. Step 2: Convert to fraction form
    25,178.02/37,772.51 = 7,649.22/x
  3. Step 3: Cross multiply
    25,178.02x = 37,772.51 × 7,649.22
  4. Step 4: Simplify right side
    25,178.02x = 288,930,172.90
  5. Step 5: Solve for x
    x = 288,930,172.90/25,178.02
  6. Step 6: Final answer
    x = 11,475.49

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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.