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Finding the Fourth Proportional to 47,247.96, 65,179.44 and 29,364

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Solution

The fourth proportional to 47,247.96, 65,179.44 and 29,364 is: 40,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,247.96 : 65,179.44 = 29,364 : x
  2. Step 2: Convert to fraction form
    47,247.96/65,179.44 = 29,364/x
  3. Step 3: Cross multiply
    47,247.96x = 65,179.44 × 29,364
  4. Step 4: Simplify right side
    47,247.96x = 1,913,929,076.16
  5. Step 5: Solve for x
    x = 1,913,929,076.16/47,247.96
  6. Step 6: Final answer
    x = 40,508.18

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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.