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Finding the Fourth Proportional to 72,181.68, 108,272.52 and 35,214

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Solution

The fourth proportional to 72,181.68, 108,272.52 and 35,214 is: 52,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,181.68 : 108,272.52 = 35,214 : x
  2. Step 2: Convert to fraction form
    72,181.68/108,272.52 = 35,214/x
  3. Step 3: Cross multiply
    72,181.68x = 108,272.52 × 35,214
  4. Step 4: Simplify right side
    72,181.68x = 3,812,708,519.28
  5. Step 5: Solve for x
    x = 3,812,708,519.28/72,181.68
  6. Step 6: Final answer
    x = 52,821.00

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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.