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Finding the Fourth Proportional to 50,854.16, 70,175.96 and 28,191.81

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Solution

The fourth proportional to 50,854.16, 70,175.96 and 28,191.81 is: 38,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,854.16 : 70,175.96 = 28,191.81 : x
  2. Step 2: Convert to fraction form
    50,854.16/70,175.96 = 28,191.81/x
  3. Step 3: Cross multiply
    50,854.16x = 70,175.96 × 28,191.81
  4. Step 4: Simplify right side
    50,854.16x = 1,978,387,189.93
  5. Step 5: Solve for x
    x = 1,978,387,189.93/50,854.16
  6. Step 6: Final answer
    x = 38,903.16

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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.