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Finding the Fourth Proportional to 47,662.41, 71,447.14 and 22,695.76

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Solution

The fourth proportional to 47,662.41, 71,447.14 and 22,695.76 is: 34,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.41 : 71,447.14 = 22,695.76 : x
  2. Step 2: Convert to fraction form
    47,662.41/71,447.14 = 22,695.76/x
  3. Step 3: Cross multiply
    47,662.41x = 71,447.14 × 22,695.76
  4. Step 4: Simplify right side
    47,662.41x = 1,621,547,142.13
  5. Step 5: Solve for x
    x = 1,621,547,142.13/47,662.41
  6. Step 6: Final answer
    x = 34,021.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.