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Finding the Fourth Proportional to 40,707.90, 56,161.08 and 23,709.24

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Solution

The fourth proportional to 40,707.90, 56,161.08 and 23,709.24 is: 32,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,707.90 : 56,161.08 = 23,709.24 : x
  2. Step 2: Convert to fraction form
    40,707.90/56,161.08 = 23,709.24/x
  3. Step 3: Cross multiply
    40,707.90x = 56,161.08 × 23,709.24
  4. Step 4: Simplify right side
    40,707.90x = 1,331,536,524.38
  5. Step 5: Solve for x
    x = 1,331,536,524.38/40,707.90
  6. Step 6: Final answer
    x = 32,709.54

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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.