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Finding the Fourth Proportional to 92,642.89, 138,972.54 and 26,083.59

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Solution

The fourth proportional to 92,642.89, 138,972.54 and 26,083.59 is: 39,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642.89 : 138,972.54 = 26,083.59 : x
  2. Step 2: Convert to fraction form
    92,642.89/138,972.54 = 26,083.59/x
  3. Step 3: Cross multiply
    92,642.89x = 138,972.54 × 26,083.59
  4. Step 4: Simplify right side
    92,642.89x = 3,624,902,624.20
  5. Step 5: Solve for x
    x = 3,624,902,624.20/92,642.89
  6. Step 6: Final answer
    x = 39,127.69

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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.