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Finding the Fourth Proportional to 75,164.48, 112,746.62 and 30,791.30

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Solution

The fourth proportional to 75,164.48, 112,746.62 and 30,791.30 is: 46,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164.48 : 112,746.62 = 30,791.30 : x
  2. Step 2: Convert to fraction form
    75,164.48/112,746.62 = 30,791.30/x
  3. Step 3: Cross multiply
    75,164.48x = 112,746.62 × 30,791.30
  4. Step 4: Simplify right side
    75,164.48x = 3,471,614,282.72
  5. Step 5: Solve for x
    x = 3,471,614,282.72/75,164.48
  6. Step 6: Final answer
    x = 46,186.90

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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.