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Finding the Fourth Proportional to 113,262.09, 169,893.68 and 34,377

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Solution

The fourth proportional to 113,262.09, 169,893.68 and 34,377 is: 51,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,262.09 : 169,893.68 = 34,377 : x
  2. Step 2: Convert to fraction form
    113,262.09/169,893.68 = 34,377/x
  3. Step 3: Cross multiply
    113,262.09x = 169,893.68 × 34,377
  4. Step 4: Simplify right side
    113,262.09x = 5,840,434,865.48
  5. Step 5: Solve for x
    x = 5,840,434,865.48/113,262.09
  6. Step 6: Final answer
    x = 51,565.66

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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.