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Finding the Fourth Proportional to 29,648.54, 44,487.41 and 13,854.66

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Solution

The fourth proportional to 29,648.54, 44,487.41 and 13,854.66 is: 20,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648.54 : 44,487.41 = 13,854.66 : x
  2. Step 2: Convert to fraction form
    29,648.54/44,487.41 = 13,854.66/x
  3. Step 3: Cross multiply
    29,648.54x = 44,487.41 × 13,854.66
  4. Step 4: Simplify right side
    29,648.54x = 616,357,752.03
  5. Step 5: Solve for x
    x = 616,357,752.03/29,648.54
  6. Step 6: Final answer
    x = 20,788.81

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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.