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Finding the Fourth Proportional to 47,695.64, 65,806.65 and 29,808.82

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Solution

The fourth proportional to 47,695.64, 65,806.65 and 29,808.82 is: 41,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.64 : 65,806.65 = 29,808.82 : x
  2. Step 2: Convert to fraction form
    47,695.64/65,806.65 = 29,808.82/x
  3. Step 3: Cross multiply
    47,695.64x = 65,806.65 × 29,808.82
  4. Step 4: Simplify right side
    47,695.64x = 1,961,618,420.14
  5. Step 5: Solve for x
    x = 1,961,618,420.14/47,695.64
  6. Step 6: Final answer
    x = 41,127.83

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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.