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Finding the Fourth Proportional to 44,853.84, 67,281.93 and 13,689

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Solution

The fourth proportional to 44,853.84, 67,281.93 and 13,689 is: 20,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,853.84 : 67,281.93 = 13,689 : x
  2. Step 2: Convert to fraction form
    44,853.84/67,281.93 = 13,689/x
  3. Step 3: Cross multiply
    44,853.84x = 67,281.93 × 13,689
  4. Step 4: Simplify right side
    44,853.84x = 921,022,339.77
  5. Step 5: Solve for x
    x = 921,022,339.77/44,853.84
  6. Step 6: Final answer
    x = 20,533.86

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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.