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Finding the Fourth Proportional to 47,762.36, 65,909 and 29,856.52

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Solution

The fourth proportional to 47,762.36, 65,909 and 29,856.52 is: 41,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762.36 : 65,909 = 29,856.52 : x
  2. Step 2: Convert to fraction form
    47,762.36/65,909 = 29,856.52/x
  3. Step 3: Cross multiply
    47,762.36x = 65,909 × 29,856.52
  4. Step 4: Simplify right side
    47,762.36x = 1,967,813,376.68
  5. Step 5: Solve for x
    x = 1,967,813,376.68/47,762.36
  6. Step 6: Final answer
    x = 41,200.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.