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Finding the Fourth Proportional to 55,107.88, 82,649.40 and 15,664.12

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Solution

The fourth proportional to 55,107.88, 82,649.40 and 15,664.12 is: 23,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,107.88 : 82,649.40 = 15,664.12 : x
  2. Step 2: Convert to fraction form
    55,107.88/82,649.40 = 15,664.12/x
  3. Step 3: Cross multiply
    55,107.88x = 82,649.40 × 15,664.12
  4. Step 4: Simplify right side
    55,107.88x = 1,294,630,119.53
  5. Step 5: Solve for x
    x = 1,294,630,119.53/55,107.88
  6. Step 6: Final answer
    x = 23,492.65

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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.