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Finding the Fourth Proportional to 74,293.16, 111,468.90 and 32,711

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Solution

The fourth proportional to 74,293.16, 111,468.90 and 32,711 is: 49,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293.16 : 111,468.90 = 32,711 : x
  2. Step 2: Convert to fraction form
    74,293.16/111,468.90 = 32,711/x
  3. Step 3: Cross multiply
    74,293.16x = 111,468.90 × 32,711
  4. Step 4: Simplify right side
    74,293.16x = 3,646,259,187.90
  5. Step 5: Solve for x
    x = 3,646,259,187.90/74,293.16
  6. Step 6: Final answer
    x = 49,079.34

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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.