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Finding the Fourth Proportional to 37,533.78, 51,800.13 and 20,772.18

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Solution

The fourth proportional to 37,533.78, 51,800.13 and 20,772.18 is: 28,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.78 : 51,800.13 = 20,772.18 : x
  2. Step 2: Convert to fraction form
    37,533.78/51,800.13 = 20,772.18/x
  3. Step 3: Cross multiply
    37,533.78x = 51,800.13 × 20,772.18
  4. Step 4: Simplify right side
    37,533.78x = 1,076,001,624.38
  5. Step 5: Solve for x
    x = 1,076,001,624.38/37,533.78
  6. Step 6: Final answer
    x = 28,667.55

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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.