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Finding the Fourth Proportional to 48,153.92, 72,230.66 and 13,093.47

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Solution

The fourth proportional to 48,153.92, 72,230.66 and 13,093.47 is: 19,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,153.92 : 72,230.66 = 13,093.47 : x
  2. Step 2: Convert to fraction form
    48,153.92/72,230.66 = 13,093.47/x
  3. Step 3: Cross multiply
    48,153.92x = 72,230.66 × 13,093.47
  4. Step 4: Simplify right side
    48,153.92x = 945,749,914.32
  5. Step 5: Solve for x
    x = 945,749,914.32/48,153.92
  6. Step 6: Final answer
    x = 19,640.15

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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.