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Finding the Fourth Proportional to 37,754.90, 56,585.20 and 19,989.64

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Solution

The fourth proportional to 37,754.90, 56,585.20 and 19,989.64 is: 29,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.90 : 56,585.20 = 19,989.64 : x
  2. Step 2: Convert to fraction form
    37,754.90/56,585.20 = 19,989.64/x
  3. Step 3: Cross multiply
    37,754.90x = 56,585.20 × 19,989.64
  4. Step 4: Simplify right side
    37,754.90x = 1,131,117,777.33
  5. Step 5: Solve for x
    x = 1,131,117,777.33/37,754.90
  6. Step 6: Final answer
    x = 29,959.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.