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Finding the Fourth Proportional to 92,458.16, 138,703.44 and 39,869.72

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Solution

The fourth proportional to 92,458.16, 138,703.44 and 39,869.72 is: 59,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,458.16 : 138,703.44 = 39,869.72 : x
  2. Step 2: Convert to fraction form
    92,458.16/138,703.44 = 39,869.72/x
  3. Step 3: Cross multiply
    92,458.16x = 138,703.44 × 39,869.72
  4. Step 4: Simplify right side
    92,458.16x = 5,530,067,315.84
  5. Step 5: Solve for x
    x = 5,530,067,315.84/92,458.16
  6. Step 6: Final answer
    x = 59,811.57

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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.