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Finding the Fourth Proportional to 29,685.42, 44,521.14 and 8,619.90

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Solution

The fourth proportional to 29,685.42, 44,521.14 and 8,619.90 is: 12,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.42 : 44,521.14 = 8,619.90 : x
  2. Step 2: Convert to fraction form
    29,685.42/44,521.14 = 8,619.90/x
  3. Step 3: Cross multiply
    29,685.42x = 44,521.14 × 8,619.90
  4. Step 4: Simplify right side
    29,685.42x = 383,767,774.69
  5. Step 5: Solve for x
    x = 383,767,774.69/29,685.42
  6. Step 6: Final answer
    x = 12,927.82

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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.