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Finding the Fourth Proportional to 30,611.43, 45,924.84 and 14,824.02

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Solution

The fourth proportional to 30,611.43, 45,924.84 and 14,824.02 is: 22,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.43 : 45,924.84 = 14,824.02 : x
  2. Step 2: Convert to fraction form
    30,611.43/45,924.84 = 14,824.02/x
  3. Step 3: Cross multiply
    30,611.43x = 45,924.84 × 14,824.02
  4. Step 4: Simplify right side
    30,611.43x = 680,790,746.66
  5. Step 5: Solve for x
    x = 680,790,746.66/30,611.43
  6. Step 6: Final answer
    x = 22,239.76

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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.