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Finding the Fourth Proportional to 71,070.32, 106,616.02 and 23,669.94

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Solution

The fourth proportional to 71,070.32, 106,616.02 and 23,669.94 is: 35,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,070.32 : 106,616.02 = 23,669.94 : x
  2. Step 2: Convert to fraction form
    71,070.32/106,616.02 = 23,669.94/x
  3. Step 3: Cross multiply
    71,070.32x = 106,616.02 × 23,669.94
  4. Step 4: Simplify right side
    71,070.32x = 2,523,594,796.44
  5. Step 5: Solve for x
    x = 2,523,594,796.44/71,070.32
  6. Step 6: Final answer
    x = 35,508.42

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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.