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Finding the Fourth Proportional to 76,993.82, 115,494.82 and 24,407.40

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Solution

The fourth proportional to 76,993.82, 115,494.82 and 24,407.40 is: 36,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.82 : 115,494.82 = 24,407.40 : x
  2. Step 2: Convert to fraction form
    76,993.82/115,494.82 = 24,407.40/x
  3. Step 3: Cross multiply
    76,993.82x = 115,494.82 × 24,407.40
  4. Step 4: Simplify right side
    76,993.82x = 2,818,928,269.67
  5. Step 5: Solve for x
    x = 2,818,928,269.67/76,993.82
  6. Step 6: Final answer
    x = 36,612.40

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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.