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Finding the Fourth Proportional to 30,565.94, 45,843.99 and 8,374.13

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Solution

The fourth proportional to 30,565.94, 45,843.99 and 8,374.13 is: 12,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.94 : 45,843.99 = 8,374.13 : x
  2. Step 2: Convert to fraction form
    30,565.94/45,843.99 = 8,374.13/x
  3. Step 3: Cross multiply
    30,565.94x = 45,843.99 × 8,374.13
  4. Step 4: Simplify right side
    30,565.94x = 383,903,531.98
  5. Step 5: Solve for x
    x = 383,903,531.98/30,565.94
  6. Step 6: Final answer
    x = 12,559.85

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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.