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Finding the Fourth Proportional to 37,265, 51,425.70 and 22,365.80

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Solution

The fourth proportional to 37,265, 51,425.70 and 22,365.80 is: 30,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,265 : 51,425.70 = 22,365.80 : x
  2. Step 2: Convert to fraction form
    37,265/51,425.70 = 22,365.80/x
  3. Step 3: Cross multiply
    37,265x = 51,425.70 × 22,365.80
  4. Step 4: Simplify right side
    37,265x = 1,150,176,921.06
  5. Step 5: Solve for x
    x = 1,150,176,921.06/37,265
  6. Step 6: Final answer
    x = 30,864.80

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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.