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Finding the Fourth Proportional to 30,407.82, 45,611.73 and 24,290.70

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Solution

The fourth proportional to 30,407.82, 45,611.73 and 24,290.70 is: 36,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.82 : 45,611.73 = 24,290.70 : x
  2. Step 2: Convert to fraction form
    30,407.82/45,611.73 = 24,290.70/x
  3. Step 3: Cross multiply
    30,407.82x = 45,611.73 × 24,290.70
  4. Step 4: Simplify right side
    30,407.82x = 1,107,940,849.91
  5. Step 5: Solve for x
    x = 1,107,940,849.91/30,407.82
  6. Step 6: Final answer
    x = 36,436.05

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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.