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Finding the Fourth Proportional to 47,774.66, 65,815.07 and 33,407.64

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Solution

The fourth proportional to 47,774.66, 65,815.07 and 33,407.64 is: 46,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774.66 : 65,815.07 = 33,407.64 : x
  2. Step 2: Convert to fraction form
    47,774.66/65,815.07 = 33,407.64/x
  3. Step 3: Cross multiply
    47,774.66x = 65,815.07 × 33,407.64
  4. Step 4: Simplify right side
    47,774.66x = 2,198,725,998.10
  5. Step 5: Solve for x
    x = 2,198,725,998.10/47,774.66
  6. Step 6: Final answer
    x = 46,022.85

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1.5x scale

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.