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Finding the Fourth Proportional to 37,533.38, 51,800.50 and 21,181.02

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Solution

The fourth proportional to 37,533.38, 51,800.50 and 21,181.02 is: 29,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.38 : 51,800.50 = 21,181.02 : x
  2. Step 2: Convert to fraction form
    37,533.38/51,800.50 = 21,181.02/x
  3. Step 3: Cross multiply
    37,533.38x = 51,800.50 × 21,181.02
  4. Step 4: Simplify right side
    37,533.38x = 1,097,187,426.51
  5. Step 5: Solve for x
    x = 1,097,187,426.51/37,533.38
  6. Step 6: Final answer
    x = 29,232.31

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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.