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Finding the Fourth Proportional to 37,109, 51,210.60 and 22,205

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Solution

The fourth proportional to 37,109, 51,210.60 and 22,205 is: 30,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,109 : 51,210.60 = 22,205 : x
  2. Step 2: Convert to fraction form
    37,109/51,210.60 = 22,205/x
  3. Step 3: Cross multiply
    37,109x = 51,210.60 × 22,205
  4. Step 4: Simplify right side
    37,109x = 1,137,131,373
  5. Step 5: Solve for x
    x = 1,137,131,373/37,109
  6. Step 6: Final answer
    x = 30,643.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.