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Finding the Fourth Proportional to 67,814.34, 101,709.90 and 17,894.94

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Solution

The fourth proportional to 67,814.34, 101,709.90 and 17,894.94 is: 26,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814.34 : 101,709.90 = 17,894.94 : x
  2. Step 2: Convert to fraction form
    67,814.34/101,709.90 = 17,894.94/x
  3. Step 3: Cross multiply
    67,814.34x = 101,709.90 × 17,894.94
  4. Step 4: Simplify right side
    67,814.34x = 1,820,092,557.91
  5. Step 5: Solve for x
    x = 1,820,092,557.91/67,814.34
  6. Step 6: Final answer
    x = 26,839.35

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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.