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Finding the Fourth Proportional to 22,070.88, 33,106.31 and 6,488.50

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Solution

The fourth proportional to 22,070.88, 33,106.31 and 6,488.50 is: 9,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,070.88 : 33,106.31 = 6,488.50 : x
  2. Step 2: Convert to fraction form
    22,070.88/33,106.31 = 6,488.50/x
  3. Step 3: Cross multiply
    22,070.88x = 33,106.31 × 6,488.50
  4. Step 4: Simplify right side
    22,070.88x = 214,810,292.44
  5. Step 5: Solve for x
    x = 214,810,292.44/22,070.88
  6. Step 6: Final answer
    x = 9,732.75

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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.