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Finding the Fourth Proportional to 34,649.10, 47,821.14 and 22,746.96

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Solution

The fourth proportional to 34,649.10, 47,821.14 and 22,746.96 is: 31,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.10 : 47,821.14 = 22,746.96 : x
  2. Step 2: Convert to fraction form
    34,649.10/47,821.14 = 22,746.96/x
  3. Step 3: Cross multiply
    34,649.10x = 47,821.14 × 22,746.96
  4. Step 4: Simplify right side
    34,649.10x = 1,087,785,558.73
  5. Step 5: Solve for x
    x = 1,087,785,558.73/34,649.10
  6. Step 6: Final answer
    x = 31,394.34

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