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Finding the Fourth Proportional to 40,422.86, 55,783.62 and 23,430.38

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Solution

The fourth proportional to 40,422.86, 55,783.62 and 23,430.38 is: 32,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422.86 : 55,783.62 = 23,430.38 : x
  2. Step 2: Convert to fraction form
    40,422.86/55,783.62 = 23,430.38/x
  3. Step 3: Cross multiply
    40,422.86x = 55,783.62 × 23,430.38
  4. Step 4: Simplify right side
    40,422.86x = 1,307,031,414.38
  5. Step 5: Solve for x
    x = 1,307,031,414.38/40,422.86
  6. Step 6: Final answer
    x = 32,333.97

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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.