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Finding the Fourth Proportional to 53,929.88, 80,895 and 16,489.81

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Solution

The fourth proportional to 53,929.88, 80,895 and 16,489.81 is: 24,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,929.88 : 80,895 = 16,489.81 : x
  2. Step 2: Convert to fraction form
    53,929.88/80,895 = 16,489.81/x
  3. Step 3: Cross multiply
    53,929.88x = 80,895 × 16,489.81
  4. Step 4: Simplify right side
    53,929.88x = 1,333,943,179.95
  5. Step 5: Solve for x
    x = 1,333,943,179.95/53,929.88
  6. Step 6: Final answer
    x = 24,734.77

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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.