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Finding the Fourth Proportional to 40,412.58, 55,769.22 and 22,507.80

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Solution

The fourth proportional to 40,412.58, 55,769.22 and 22,507.80 is: 31,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,412.58 : 55,769.22 = 22,507.80 : x
  2. Step 2: Convert to fraction form
    40,412.58/55,769.22 = 22,507.80/x
  3. Step 3: Cross multiply
    40,412.58x = 55,769.22 × 22,507.80
  4. Step 4: Simplify right side
    40,412.58x = 1,255,242,449.92
  5. Step 5: Solve for x
    x = 1,255,242,449.92/40,412.58
  6. Step 6: Final answer
    x = 31,060.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.