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Finding the Fourth Proportional to 38,295.60, 52,844.82 and 22,378.32

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Solution

The fourth proportional to 38,295.60, 52,844.82 and 22,378.32 is: 30,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.60 : 52,844.82 = 22,378.32 : x
  2. Step 2: Convert to fraction form
    38,295.60/52,844.82 = 22,378.32/x
  3. Step 3: Cross multiply
    38,295.60x = 52,844.82 × 22,378.32
  4. Step 4: Simplify right side
    38,295.60x = 1,182,578,292.30
  5. Step 5: Solve for x
    x = 1,182,578,292.30/38,295.60
  6. Step 6: Final answer
    x = 30,880.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.