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Finding the Fourth Proportional to 37,564.43, 56,264.76 and 18,811.76

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Solution

The fourth proportional to 37,564.43, 56,264.76 and 18,811.76 is: 28,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.43 : 56,264.76 = 18,811.76 : x
  2. Step 2: Convert to fraction form
    37,564.43/56,264.76 = 18,811.76/x
  3. Step 3: Cross multiply
    37,564.43x = 56,264.76 × 18,811.76
  4. Step 4: Simplify right side
    37,564.43x = 1,058,439,161.58
  5. Step 5: Solve for x
    x = 1,058,439,161.58/37,564.43
  6. Step 6: Final answer
    x = 28,176.63

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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.