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Finding the Fourth Proportional to 40,583.10, 56,003.59 and 22,678.25

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Solution

The fourth proportional to 40,583.10, 56,003.59 and 22,678.25 is: 31,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,583.10 : 56,003.59 = 22,678.25 : x
  2. Step 2: Convert to fraction form
    40,583.10/56,003.59 = 22,678.25/x
  3. Step 3: Cross multiply
    40,583.10x = 56,003.59 × 22,678.25
  4. Step 4: Simplify right side
    40,583.10x = 1,270,063,414.92
  5. Step 5: Solve for x
    x = 1,270,063,414.92/40,583.10
  6. Step 6: Final answer
    x = 31,295.38

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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.