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Finding the Fourth Proportional to 54,773.31, 75,614.40 and 34,650.48

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Solution

The fourth proportional to 54,773.31, 75,614.40 and 34,650.48 is: 47,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,773.31 : 75,614.40 = 34,650.48 : x
  2. Step 2: Convert to fraction form
    54,773.31/75,614.40 = 34,650.48/x
  3. Step 3: Cross multiply
    54,773.31x = 75,614.40 × 34,650.48
  4. Step 4: Simplify right side
    54,773.31x = 2,620,075,254.91
  5. Step 5: Solve for x
    x = 2,620,075,254.91/54,773.31
  6. Step 6: Final answer
    x = 47,834.89

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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.