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Finding the Fourth Proportional to 51,398.86, 77,041.61 and 33,622.14

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Solution

The fourth proportional to 51,398.86, 77,041.61 and 33,622.14 is: 50,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.86 : 77,041.61 = 33,622.14 : x
  2. Step 2: Convert to fraction form
    51,398.86/77,041.61 = 33,622.14/x
  3. Step 3: Cross multiply
    51,398.86x = 77,041.61 × 33,622.14
  4. Step 4: Simplify right side
    51,398.86x = 2,590,303,797.25
  5. Step 5: Solve for x
    x = 2,590,303,797.25/51,398.86
  6. Step 6: Final answer
    x = 50,396.13

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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.