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Finding the Fourth Proportional to 22,319.19, 33,478.63 and 5,679

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Solution

The fourth proportional to 22,319.19, 33,478.63 and 5,679 is: 8,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319.19 : 33,478.63 = 5,679 : x
  2. Step 2: Convert to fraction form
    22,319.19/33,478.63 = 5,679/x
  3. Step 3: Cross multiply
    22,319.19x = 33,478.63 × 5,679
  4. Step 4: Simplify right side
    22,319.19x = 190,125,125.57
  5. Step 5: Solve for x
    x = 190,125,125.57/22,319.19
  6. Step 6: Final answer
    x = 8,518.46

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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.