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Finding the Fourth Proportional to 56,447.84, 84,672.48 and 22,729.60

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Solution

The fourth proportional to 56,447.84, 84,672.48 and 22,729.60 is: 34,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,447.84 : 84,672.48 = 22,729.60 : x
  2. Step 2: Convert to fraction form
    56,447.84/84,672.48 = 22,729.60/x
  3. Step 3: Cross multiply
    56,447.84x = 84,672.48 × 22,729.60
  4. Step 4: Simplify right side
    56,447.84x = 1,924,571,601.41
  5. Step 5: Solve for x
    x = 1,924,571,601.41/56,447.84
  6. Step 6: Final answer
    x = 34,094.69

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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.