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Finding the Fourth Proportional to 47,707.92, 65,878.65 and 29,833.38

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Solution

The fourth proportional to 47,707.92, 65,878.65 and 29,833.38 is: 41,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,707.92 : 65,878.65 = 29,833.38 : x
  2. Step 2: Convert to fraction form
    47,707.92/65,878.65 = 29,833.38/x
  3. Step 3: Cross multiply
    47,707.92x = 65,878.65 × 29,833.38
  4. Step 4: Simplify right side
    47,707.92x = 1,965,382,799.34
  5. Step 5: Solve for x
    x = 1,965,382,799.34/47,707.92
  6. Step 6: Final answer
    x = 41,196.15

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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.