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Finding the Fourth Proportional to 57,823.74, 79,796.88 and 32,673.24

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Solution

The fourth proportional to 57,823.74, 79,796.88 and 32,673.24 is: 45,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,823.74 : 79,796.88 = 32,673.24 : x
  2. Step 2: Convert to fraction form
    57,823.74/79,796.88 = 32,673.24/x
  3. Step 3: Cross multiply
    57,823.74x = 79,796.88 × 32,673.24
  4. Step 4: Simplify right side
    57,823.74x = 2,607,222,611.49
  5. Step 5: Solve for x
    x = 2,607,222,611.49/57,823.74
  6. Step 6: Final answer
    x = 45,089.14

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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.