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Finding the Fourth Proportional to 29,600.30, 40,848.27 and 16,854

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Solution

The fourth proportional to 29,600.30, 40,848.27 and 16,854 is: 23,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600.30 : 40,848.27 = 16,854 : x
  2. Step 2: Convert to fraction form
    29,600.30/40,848.27 = 16,854/x
  3. Step 3: Cross multiply
    29,600.30x = 40,848.27 × 16,854
  4. Step 4: Simplify right side
    29,600.30x = 688,456,742.58
  5. Step 5: Solve for x
    x = 688,456,742.58/29,600.30
  6. Step 6: Final answer
    x = 23,258.44

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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.