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Finding the Fourth Proportional to 54,252, 74,861.46 and 31,595.94

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Solution

The fourth proportional to 54,252, 74,861.46 and 31,595.94 is: 43,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,252 : 74,861.46 = 31,595.94 : x
  2. Step 2: Convert to fraction form
    54,252/74,861.46 = 31,595.94/x
  3. Step 3: Cross multiply
    54,252x = 74,861.46 × 31,595.94
  4. Step 4: Simplify right side
    54,252x = 2,365,318,198.47
  5. Step 5: Solve for x
    x = 2,365,318,198.47/54,252
  6. Step 6: Final answer
    x = 43,598.73

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Why These Related Problems?

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