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Finding the Fourth Proportional to 48,107, 72,160.32 and 13,046.60

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Solution

The fourth proportional to 48,107, 72,160.32 and 13,046.60 is: 19,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107 : 72,160.32 = 13,046.60 : x
  2. Step 2: Convert to fraction form
    48,107/72,160.32 = 13,046.60/x
  3. Step 3: Cross multiply
    48,107x = 72,160.32 × 13,046.60
  4. Step 4: Simplify right side
    48,107x = 941,446,830.91
  5. Step 5: Solve for x
    x = 941,446,830.91/48,107
  6. Step 6: Final answer
    x = 19,569.85

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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.