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Finding the Fourth Proportional to 30,411.42, 41,874.84 and 27,560.22

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Solution

The fourth proportional to 30,411.42, 41,874.84 and 27,560.22 is: 37,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.42 : 41,874.84 = 27,560.22 : x
  2. Step 2: Convert to fraction form
    30,411.42/41,874.84 = 27,560.22/x
  3. Step 3: Cross multiply
    30,411.42x = 41,874.84 × 27,560.22
  4. Step 4: Simplify right side
    30,411.42x = 1,154,079,802.86
  5. Step 5: Solve for x
    x = 1,154,079,802.86/30,411.42
  6. Step 6: Final answer
    x = 37,948.90

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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.