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Finding the Fourth Proportional to 77,246.46, 115,856.73 and 21,829.50

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Solution

The fourth proportional to 77,246.46, 115,856.73 and 21,829.50 is: 32,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,246.46 : 115,856.73 = 21,829.50 : x
  2. Step 2: Convert to fraction form
    77,246.46/115,856.73 = 21,829.50/x
  3. Step 3: Cross multiply
    77,246.46x = 115,856.73 × 21,829.50
  4. Step 4: Simplify right side
    77,246.46x = 2,529,094,487.54
  5. Step 5: Solve for x
    x = 2,529,094,487.54/77,246.46
  6. Step 6: Final answer
    x = 32,740.59

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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.