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Finding the Fourth Proportional to 48,446.34, 66,874.22 and 28,309.77

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Solution

The fourth proportional to 48,446.34, 66,874.22 and 28,309.77 is: 39,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446.34 : 66,874.22 = 28,309.77 : x
  2. Step 2: Convert to fraction form
    48,446.34/66,874.22 = 28,309.77/x
  3. Step 3: Cross multiply
    48,446.34x = 66,874.22 × 28,309.77
  4. Step 4: Simplify right side
    48,446.34x = 1,893,193,787.13
  5. Step 5: Solve for x
    x = 1,893,193,787.13/48,446.34
  6. Step 6: Final answer
    x = 39,078.16

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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.