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Finding the Fourth Proportional to 56,097, 84,144.84 and 16,116.95

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Solution

The fourth proportional to 56,097, 84,144.84 and 16,116.95 is: 24,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,097 : 84,144.84 = 16,116.95 : x
  2. Step 2: Convert to fraction form
    56,097/84,144.84 = 16,116.95/x
  3. Step 3: Cross multiply
    56,097x = 84,144.84 × 16,116.95
  4. Step 4: Simplify right side
    56,097x = 1,356,158,179.04
  5. Step 5: Solve for x
    x = 1,356,158,179.04/56,097
  6. Step 6: Final answer
    x = 24,175.24

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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.