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Finding the Fourth Proportional to 41,105.47, 56,724.95 and 22,956

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Solution

The fourth proportional to 41,105.47, 56,724.95 and 22,956 is: 31,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.47 : 56,724.95 = 22,956 : x
  2. Step 2: Convert to fraction form
    41,105.47/56,724.95 = 22,956/x
  3. Step 3: Cross multiply
    41,105.47x = 56,724.95 × 22,956
  4. Step 4: Simplify right side
    41,105.47x = 1,302,178,009.59
  5. Step 5: Solve for x
    x = 1,302,178,009.59/41,105.47
  6. Step 6: Final answer
    x = 31,678.95

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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.