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Finding the Fourth Proportional to 37,722.84, 56,544.84 and 21,058.44

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Solution

The fourth proportional to 37,722.84, 56,544.84 and 21,058.44 is: 31,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722.84 : 56,544.84 = 21,058.44 : x
  2. Step 2: Convert to fraction form
    37,722.84/56,544.84 = 21,058.44/x
  3. Step 3: Cross multiply
    37,722.84x = 56,544.84 × 21,058.44
  4. Step 4: Simplify right side
    37,722.84x = 1,190,746,120.45
  5. Step 5: Solve for x
    x = 1,190,746,120.45/37,722.84
  6. Step 6: Final answer
    x = 31,565.65

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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.