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Finding the Fourth Proportional to 75,364.82, 112,968.22 and 25,427.71

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Solution

The fourth proportional to 75,364.82, 112,968.22 and 25,427.71 is: 38,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,364.82 : 112,968.22 = 25,427.71 : x
  2. Step 2: Convert to fraction form
    75,364.82/112,968.22 = 25,427.71/x
  3. Step 3: Cross multiply
    75,364.82x = 112,968.22 × 25,427.71
  4. Step 4: Simplify right side
    75,364.82x = 2,872,523,137.38
  5. Step 5: Solve for x
    x = 2,872,523,137.38/75,364.82
  6. Step 6: Final answer
    x = 38,114.91

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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.