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Finding the Fourth Proportional to 48,435.63, 72,753.06 and 31,819.29

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Solution

The fourth proportional to 48,435.63, 72,753.06 and 31,819.29 is: 47,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,435.63 : 72,753.06 = 31,819.29 : x
  2. Step 2: Convert to fraction form
    48,435.63/72,753.06 = 31,819.29/x
  3. Step 3: Cross multiply
    48,435.63x = 72,753.06 × 31,819.29
  4. Step 4: Simplify right side
    48,435.63x = 2,314,950,714.53
  5. Step 5: Solve for x
    x = 2,314,950,714.53/48,435.63
  6. Step 6: Final answer
    x = 47,794.38

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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.