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Finding the Fourth Proportional to 55,869.22, 83,856.50 and 20,364.86

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Solution

The fourth proportional to 55,869.22, 83,856.50 and 20,364.86 is: 30,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,869.22 : 83,856.50 = 20,364.86 : x
  2. Step 2: Convert to fraction form
    55,869.22/83,856.50 = 20,364.86/x
  3. Step 3: Cross multiply
    55,869.22x = 83,856.50 × 20,364.86
  4. Step 4: Simplify right side
    55,869.22x = 1,707,725,631.30
  5. Step 5: Solve for x
    x = 1,707,725,631.30/55,869.22
  6. Step 6: Final answer
    x = 30,566.48

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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.