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Finding the Fourth Proportional to 37,076.28, 51,188.52 and 28,562.38

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Solution

The fourth proportional to 37,076.28, 51,188.52 and 28,562.38 is: 39,434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076.28 : 51,188.52 = 28,562.38 : x
  2. Step 2: Convert to fraction form
    37,076.28/51,188.52 = 28,562.38/x
  3. Step 3: Cross multiply
    37,076.28x = 51,188.52 × 28,562.38
  4. Step 4: Simplify right side
    37,076.28x = 1,462,065,959.88
  5. Step 5: Solve for x
    x = 1,462,065,959.88/37,076.28
  6. Step 6: Final answer
    x = 39,434.00

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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.