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Finding the Fourth Proportional to 67,814.78, 101,722.14 and 26,261.78

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Solution

The fourth proportional to 67,814.78, 101,722.14 and 26,261.78 is: 39,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814.78 : 101,722.14 = 26,261.78 : x
  2. Step 2: Convert to fraction form
    67,814.78/101,722.14 = 26,261.78/x
  3. Step 3: Cross multiply
    67,814.78x = 101,722.14 × 26,261.78
  4. Step 4: Simplify right side
    67,814.78x = 2,671,404,461.81
  5. Step 5: Solve for x
    x = 2,671,404,461.81/67,814.78
  6. Step 6: Final answer
    x = 39,392.66

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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.