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Finding the Fourth Proportional to 92,309.68, 138,465.61 and 25,745.75

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Solution

The fourth proportional to 92,309.68, 138,465.61 and 25,745.75 is: 38,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309.68 : 138,465.61 = 25,745.75 : x
  2. Step 2: Convert to fraction form
    92,309.68/138,465.61 = 25,745.75/x
  3. Step 3: Cross multiply
    92,309.68x = 138,465.61 × 25,745.75
  4. Step 4: Simplify right side
    92,309.68x = 3,564,900,978.66
  5. Step 5: Solve for x
    x = 3,564,900,978.66/92,309.68
  6. Step 6: Final answer
    x = 38,618.93

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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.