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Finding the Fourth Proportional to 92,257.50, 138,386.25 and 26,593.50

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Solution

The fourth proportional to 92,257.50, 138,386.25 and 26,593.50 is: 39,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,257.50 : 138,386.25 = 26,593.50 : x
  2. Step 2: Convert to fraction form
    92,257.50/138,386.25 = 26,593.50/x
  3. Step 3: Cross multiply
    92,257.50x = 138,386.25 × 26,593.50
  4. Step 4: Simplify right side
    92,257.50x = 3,680,174,739.38
  5. Step 5: Solve for x
    x = 3,680,174,739.38/92,257.50
  6. Step 6: Final answer
    x = 39,890.25

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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.