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Finding the Fourth Proportional to 41,170.32, 56,815.24 and 22,307.44

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Solution

The fourth proportional to 41,170.32, 56,815.24 and 22,307.44 is: 30,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,170.32 : 56,815.24 = 22,307.44 : x
  2. Step 2: Convert to fraction form
    41,170.32/56,815.24 = 22,307.44/x
  3. Step 3: Cross multiply
    41,170.32x = 56,815.24 × 22,307.44
  4. Step 4: Simplify right side
    41,170.32x = 1,267,402,557.39
  5. Step 5: Solve for x
    x = 1,267,402,557.39/41,170.32
  6. Step 6: Final answer
    x = 30,784.38

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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.