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Finding the Fourth Proportional to 40,546.50, 55,953.54 and 22,641.76

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Solution

The fourth proportional to 40,546.50, 55,953.54 and 22,641.76 is: 31,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,546.50 : 55,953.54 = 22,641.76 : x
  2. Step 2: Convert to fraction form
    40,546.50/55,953.54 = 22,641.76/x
  3. Step 3: Cross multiply
    40,546.50x = 55,953.54 × 22,641.76
  4. Step 4: Simplify right side
    40,546.50x = 1,266,886,623.83
  5. Step 5: Solve for x
    x = 1,266,886,623.83/40,546.50
  6. Step 6: Final answer
    x = 31,245.28

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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.