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Finding the Fourth Proportional to 67,002.34, 100,518.09 and 20,254

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Solution

The fourth proportional to 67,002.34, 100,518.09 and 20,254 is: 30,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,002.34 : 100,518.09 = 20,254 : x
  2. Step 2: Convert to fraction form
    67,002.34/100,518.09 = 20,254/x
  3. Step 3: Cross multiply
    67,002.34x = 100,518.09 × 20,254
  4. Step 4: Simplify right side
    67,002.34x = 2,035,893,394.86
  5. Step 5: Solve for x
    x = 2,035,893,394.86/67,002.34
  6. Step 6: Final answer
    x = 30,385.41

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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.