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Finding the Fourth Proportional to 75,843.83, 113,784.06 and 28,459.31

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Solution

The fourth proportional to 75,843.83, 113,784.06 and 28,459.31 is: 42,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.83 : 113,784.06 = 28,459.31 : x
  2. Step 2: Convert to fraction form
    75,843.83/113,784.06 = 28,459.31/x
  3. Step 3: Cross multiply
    75,843.83x = 113,784.06 × 28,459.31
  4. Step 4: Simplify right side
    75,843.83x = 3,238,215,267.68
  5. Step 5: Solve for x
    x = 3,238,215,267.68/75,843.83
  6. Step 6: Final answer
    x = 42,695.83

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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.