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Finding the Fourth Proportional to 47,776.66, 65,817.82 and 33,409.64

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Solution

The fourth proportional to 47,776.66, 65,817.82 and 33,409.64 is: 46,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776.66 : 65,817.82 = 33,409.64 : x
  2. Step 2: Convert to fraction form
    47,776.66/65,817.82 = 33,409.64/x
  3. Step 3: Cross multiply
    47,776.66x = 65,817.82 × 33,409.64
  4. Step 4: Simplify right side
    47,776.66x = 2,198,949,671.78
  5. Step 5: Solve for x
    x = 2,198,949,671.78/47,776.66
  6. Step 6: Final answer
    x = 46,025.60

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Why These Related Problems?

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