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Finding the Fourth Proportional to 37,821.86, 56,763.03 and 17,046.98

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Solution

The fourth proportional to 37,821.86, 56,763.03 and 17,046.98 is: 25,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,821.86 : 56,763.03 = 17,046.98 : x
  2. Step 2: Convert to fraction form
    37,821.86/56,763.03 = 17,046.98/x
  3. Step 3: Cross multiply
    37,821.86x = 56,763.03 × 17,046.98
  4. Step 4: Simplify right side
    37,821.86x = 967,638,237.15
  5. Step 5: Solve for x
    x = 967,638,237.15/37,821.86
  6. Step 6: Final answer
    x = 25,584.10

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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.