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Finding the Fourth Proportional to 29,509.61, 44,271.80 and 8,451.41

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Solution

The fourth proportional to 29,509.61, 44,271.80 and 8,451.41 is: 12,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.61 : 44,271.80 = 8,451.41 : x
  2. Step 2: Convert to fraction form
    29,509.61/44,271.80 = 8,451.41/x
  3. Step 3: Cross multiply
    29,509.61x = 44,271.80 × 8,451.41
  4. Step 4: Simplify right side
    29,509.61x = 374,158,869.62
  5. Step 5: Solve for x
    x = 374,158,869.62/29,509.61
  6. Step 6: Final answer
    x = 12,679.22

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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.