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Finding the Fourth Proportional to 37,437.50, 51,664.02 and 20,670.50

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Solution

The fourth proportional to 37,437.50, 51,664.02 and 20,670.50 is: 28,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,437.50 : 51,664.02 = 20,670.50 : x
  2. Step 2: Convert to fraction form
    37,437.50/51,664.02 = 20,670.50/x
  3. Step 3: Cross multiply
    37,437.50x = 51,664.02 × 20,670.50
  4. Step 4: Simplify right side
    37,437.50x = 1,067,921,125.41
  5. Step 5: Solve for x
    x = 1,067,921,125.41/37,437.50
  6. Step 6: Final answer
    x = 28,525.44

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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.