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Finding the Fourth Proportional to 54,946, 75,825.48 and 29,795.56

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Solution

The fourth proportional to 54,946, 75,825.48 and 29,795.56 is: 41,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946 : 75,825.48 = 29,795.56 : x
  2. Step 2: Convert to fraction form
    54,946/75,825.48 = 29,795.56/x
  3. Step 3: Cross multiply
    54,946x = 75,825.48 × 29,795.56
  4. Step 4: Simplify right side
    54,946x = 2,259,262,638.87
  5. Step 5: Solve for x
    x = 2,259,262,638.87/54,946
  6. Step 6: Final answer
    x = 41,117.87

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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.