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Finding the Fourth Proportional to 52,181.46, 72,006 and 29,519.28

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Solution

The fourth proportional to 52,181.46, 72,006 and 29,519.28 is: 40,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,181.46 : 72,006 = 29,519.28 : x
  2. Step 2: Convert to fraction form
    52,181.46/72,006 = 29,519.28/x
  3. Step 3: Cross multiply
    52,181.46x = 72,006 × 29,519.28
  4. Step 4: Simplify right side
    52,181.46x = 2,125,565,275.68
  5. Step 5: Solve for x
    x = 2,125,565,275.68/52,181.46
  6. Step 6: Final answer
    x = 40,734.11

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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.