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Finding the Fourth Proportional to 92,684.22, 138,930.03 and 39,410.40

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Solution

The fourth proportional to 92,684.22, 138,930.03 and 39,410.40 is: 59,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,684.22 : 138,930.03 = 39,410.40 : x
  2. Step 2: Convert to fraction form
    92,684.22/138,930.03 = 39,410.40/x
  3. Step 3: Cross multiply
    92,684.22x = 138,930.03 × 39,410.40
  4. Step 4: Simplify right side
    92,684.22x = 5,475,288,054.31
  5. Step 5: Solve for x
    x = 5,475,288,054.31/92,684.22
  6. Step 6: Final answer
    x = 59,074.65

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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.