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Finding the Fourth Proportional to 56,381.76, 77,811.84 and 32,185.44

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Solution

The fourth proportional to 56,381.76, 77,811.84 and 32,185.44 is: 44,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,381.76 : 77,811.84 = 32,185.44 : x
  2. Step 2: Convert to fraction form
    56,381.76/77,811.84 = 32,185.44/x
  3. Step 3: Cross multiply
    56,381.76x = 77,811.84 × 32,185.44
  4. Step 4: Simplify right side
    56,381.76x = 2,504,408,307.61
  5. Step 5: Solve for x
    x = 2,504,408,307.61/56,381.76
  6. Step 6: Final answer
    x = 44,418.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.