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Finding the Fourth Proportional to 35,712.41, 49,273.35 and 22,285.82

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Solution

The fourth proportional to 35,712.41, 49,273.35 and 22,285.82 is: 30,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.41 : 49,273.35 = 22,285.82 : x
  2. Step 2: Convert to fraction form
    35,712.41/49,273.35 = 22,285.82/x
  3. Step 3: Cross multiply
    35,712.41x = 49,273.35 × 22,285.82
  4. Step 4: Simplify right side
    35,712.41x = 1,098,096,762.53
  5. Step 5: Solve for x
    x = 1,098,096,762.53/35,712.41
  6. Step 6: Final answer
    x = 30,748.33

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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.