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Finding the Fourth Proportional to 37,094.76, 51,171.06 and 28,127.46

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Solution

The fourth proportional to 37,094.76, 51,171.06 and 28,127.46 is: 38,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094.76 : 51,171.06 = 28,127.46 : x
  2. Step 2: Convert to fraction form
    37,094.76/51,171.06 = 28,127.46/x
  3. Step 3: Cross multiply
    37,094.76x = 51,171.06 × 28,127.46
  4. Step 4: Simplify right side
    37,094.76x = 1,439,311,943.31
  5. Step 5: Solve for x
    x = 1,439,311,943.31/37,094.76
  6. Step 6: Final answer
    x = 38,800.95

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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.