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Finding the Fourth Proportional to 67,970.52, 101,961.09 and 18,049.50

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Solution

The fourth proportional to 67,970.52, 101,961.09 and 18,049.50 is: 27,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,970.52 : 101,961.09 = 18,049.50 : x
  2. Step 2: Convert to fraction form
    67,970.52/101,961.09 = 18,049.50/x
  3. Step 3: Cross multiply
    67,970.52x = 101,961.09 × 18,049.50
  4. Step 4: Simplify right side
    67,970.52x = 1,840,346,693.96
  5. Step 5: Solve for x
    x = 1,840,346,693.96/67,970.52
  6. Step 6: Final answer
    x = 27,075.66

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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.