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Finding the Fourth Proportional to 73,029, 109,543.50 and 17,625

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Solution

The fourth proportional to 73,029, 109,543.50 and 17,625 is: 26,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,029 : 109,543.50 = 17,625 : x
  2. Step 2: Convert to fraction form
    73,029/109,543.50 = 17,625/x
  3. Step 3: Cross multiply
    73,029x = 109,543.50 × 17,625
  4. Step 4: Simplify right side
    73,029x = 1,930,704,187.50
  5. Step 5: Solve for x
    x = 1,930,704,187.50/73,029
  6. Step 6: Final answer
    x = 26,437.50

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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.