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Finding the Fourth Proportional to 36,291, 54,439.94 and 14,106.08

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Solution

The fourth proportional to 36,291, 54,439.94 and 14,106.08 is: 21,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291 : 54,439.94 = 14,106.08 : x
  2. Step 2: Convert to fraction form
    36,291/54,439.94 = 14,106.08/x
  3. Step 3: Cross multiply
    36,291x = 54,439.94 × 14,106.08
  4. Step 4: Simplify right side
    36,291x = 767,934,148.84
  5. Step 5: Solve for x
    x = 767,934,148.84/36,291
  6. Step 6: Final answer
    x = 21,160.46

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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.