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Finding the Fourth Proportional to 40,259.86, 55,610.90 and 30,641.32

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Solution

The fourth proportional to 40,259.86, 55,610.90 and 30,641.32 is: 42,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259.86 : 55,610.90 = 30,641.32 : x
  2. Step 2: Convert to fraction form
    40,259.86/55,610.90 = 30,641.32/x
  3. Step 3: Cross multiply
    40,259.86x = 55,610.90 × 30,641.32
  4. Step 4: Simplify right side
    40,259.86x = 1,703,991,382.39
  5. Step 5: Solve for x
    x = 1,703,991,382.39/40,259.86
  6. Step 6: Final answer
    x = 42,324.82

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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.