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Finding the Fourth Proportional to 67,597, 101,395.50 and 18,349

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Solution

The fourth proportional to 67,597, 101,395.50 and 18,349 is: 27,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,597 : 101,395.50 = 18,349 : x
  2. Step 2: Convert to fraction form
    67,597/101,395.50 = 18,349/x
  3. Step 3: Cross multiply
    67,597x = 101,395.50 × 18,349
  4. Step 4: Simplify right side
    67,597x = 1,860,506,029.50
  5. Step 5: Solve for x
    x = 1,860,506,029.50/67,597
  6. Step 6: Final answer
    x = 27,523.50

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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.