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Finding the Fourth Proportional to 51,467.40, 77,201.10 and 49,061.70

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Solution

The fourth proportional to 51,467.40, 77,201.10 and 49,061.70 is: 73,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,467.40 : 77,201.10 = 49,061.70 : x
  2. Step 2: Convert to fraction form
    51,467.40/77,201.10 = 49,061.70/x
  3. Step 3: Cross multiply
    51,467.40x = 77,201.10 × 49,061.70
  4. Step 4: Simplify right side
    51,467.40x = 3,787,617,207.87
  5. Step 5: Solve for x
    x = 3,787,617,207.87/51,467.40
  6. Step 6: Final answer
    x = 73,592.55

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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.