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Finding the Fourth Proportional to 125,451.61, 188,175.78 and 30,682.61

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Solution

The fourth proportional to 125,451.61, 188,175.78 and 30,682.61 is: 46,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,451.61 : 188,175.78 = 30,682.61 : x
  2. Step 2: Convert to fraction form
    125,451.61/188,175.78 = 30,682.61/x
  3. Step 3: Cross multiply
    125,451.61x = 188,175.78 × 30,682.61
  4. Step 4: Simplify right side
    125,451.61x = 5,773,724,539.63
  5. Step 5: Solve for x
    x = 5,773,724,539.63/125,451.61
  6. Step 6: Final answer
    x = 46,023.52

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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.