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Finding the Fourth Proportional to 41,071.92, 56,679.21 and 22,209

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Solution

The fourth proportional to 41,071.92, 56,679.21 and 22,209 is: 30,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,071.92 : 56,679.21 = 22,209 : x
  2. Step 2: Convert to fraction form
    41,071.92/56,679.21 = 22,209/x
  3. Step 3: Cross multiply
    41,071.92x = 56,679.21 × 22,209
  4. Step 4: Simplify right side
    41,071.92x = 1,258,788,574.89
  5. Step 5: Solve for x
    x = 1,258,788,574.89/41,071.92
  6. Step 6: Final answer
    x = 30,648.40

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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.