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Finding the Fourth Proportional to 29,248.32, 43,873.44 and 8,472

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Solution

The fourth proportional to 29,248.32, 43,873.44 and 8,472 is: 12,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248.32 : 43,873.44 = 8,472 : x
  2. Step 2: Convert to fraction form
    29,248.32/43,873.44 = 8,472/x
  3. Step 3: Cross multiply
    29,248.32x = 43,873.44 × 8,472
  4. Step 4: Simplify right side
    29,248.32x = 371,695,783.68
  5. Step 5: Solve for x
    x = 371,695,783.68/29,248.32
  6. Step 6: Final answer
    x = 12,708.28

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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.