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Finding the Fourth Proportional to 75,260.50, 112,898.31 and 19,856.50

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Solution

The fourth proportional to 75,260.50, 112,898.31 and 19,856.50 is: 29,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260.50 : 112,898.31 = 19,856.50 : x
  2. Step 2: Convert to fraction form
    75,260.50/112,898.31 = 19,856.50/x
  3. Step 3: Cross multiply
    75,260.50x = 112,898.31 × 19,856.50
  4. Step 4: Simplify right side
    75,260.50x = 2,241,765,292.52
  5. Step 5: Solve for x
    x = 2,241,765,292.52/75,260.50
  6. Step 6: Final answer
    x = 29,786.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.