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Finding the Fourth Proportional to 50,832.04, 70,142.56 and 28,165

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Solution

The fourth proportional to 50,832.04, 70,142.56 and 28,165 is: 38,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,832.04 : 70,142.56 = 28,165 : x
  2. Step 2: Convert to fraction form
    50,832.04/70,142.56 = 28,165/x
  3. Step 3: Cross multiply
    50,832.04x = 70,142.56 × 28,165
  4. Step 4: Simplify right side
    50,832.04x = 1,975,565,202.40
  5. Step 5: Solve for x
    x = 1,975,565,202.40/50,832.04
  6. Step 6: Final answer
    x = 38,864.57

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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.