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Finding the Fourth Proportional to 35,648.38, 53,442.48 and 22,471.70

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Solution

The fourth proportional to 35,648.38, 53,442.48 and 22,471.70 is: 33,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.38 : 53,442.48 = 22,471.70 : x
  2. Step 2: Convert to fraction form
    35,648.38/53,442.48 = 22,471.70/x
  3. Step 3: Cross multiply
    35,648.38x = 53,442.48 × 22,471.70
  4. Step 4: Simplify right side
    35,648.38x = 1,200,943,377.82
  5. Step 5: Solve for x
    x = 1,200,943,377.82/35,648.38
  6. Step 6: Final answer
    x = 33,688.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.