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Finding the Fourth Proportional to 40,814.69, 56,320.40 and 22,906.19

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Solution

The fourth proportional to 40,814.69, 56,320.40 and 22,906.19 is: 31,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,814.69 : 56,320.40 = 22,906.19 : x
  2. Step 2: Convert to fraction form
    40,814.69/56,320.40 = 22,906.19/x
  3. Step 3: Cross multiply
    40,814.69x = 56,320.40 × 22,906.19
  4. Step 4: Simplify right side
    40,814.69x = 1,290,085,981.34
  5. Step 5: Solve for x
    x = 1,290,085,981.34/40,814.69
  6. Step 6: Final answer
    x = 31,608.38

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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.