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Finding the Fourth Proportional to 52,649.90, 78,963.22 and 15,201.84

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Solution

The fourth proportional to 52,649.90, 78,963.22 and 15,201.84 is: 22,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,649.90 : 78,963.22 = 15,201.84 : x
  2. Step 2: Convert to fraction form
    52,649.90/78,963.22 = 15,201.84/x
  3. Step 3: Cross multiply
    52,649.90x = 78,963.22 × 15,201.84
  4. Step 4: Simplify right side
    52,649.90x = 1,200,386,236.32
  5. Step 5: Solve for x
    x = 1,200,386,236.32/52,649.90
  6. Step 6: Final answer
    x = 22,799.40

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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.