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Finding the Fourth Proportional to 67,023, 100,534.50 and 17,775

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Solution

The fourth proportional to 67,023, 100,534.50 and 17,775 is: 26,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,023 : 100,534.50 = 17,775 : x
  2. Step 2: Convert to fraction form
    67,023/100,534.50 = 17,775/x
  3. Step 3: Cross multiply
    67,023x = 100,534.50 × 17,775
  4. Step 4: Simplify right side
    67,023x = 1,787,000,737.50
  5. Step 5: Solve for x
    x = 1,787,000,737.50/67,023
  6. Step 6: Final answer
    x = 26,662.50

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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.