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Finding the Fourth Proportional to 37,709.80, 56,541.44 and 12,747.48

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Solution

The fourth proportional to 37,709.80, 56,541.44 and 12,747.48 is: 19,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,709.80 : 56,541.44 = 12,747.48 : x
  2. Step 2: Convert to fraction form
    37,709.80/56,541.44 = 12,747.48/x
  3. Step 3: Cross multiply
    37,709.80x = 56,541.44 × 12,747.48
  4. Step 4: Simplify right side
    37,709.80x = 720,760,875.57
  5. Step 5: Solve for x
    x = 720,760,875.57/37,709.80
  6. Step 6: Final answer
    x = 19,113.36

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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.