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Finding the Fourth Proportional to 54,647.88, 81,938.97 and 37,064.40

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Solution

The fourth proportional to 54,647.88, 81,938.97 and 37,064.40 is: 55,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,647.88 : 81,938.97 = 37,064.40 : x
  2. Step 2: Convert to fraction form
    54,647.88/81,938.97 = 37,064.40/x
  3. Step 3: Cross multiply
    54,647.88x = 81,938.97 × 37,064.40
  4. Step 4: Simplify right side
    54,647.88x = 3,037,018,759.67
  5. Step 5: Solve for x
    x = 3,037,018,759.67/54,647.88
  6. Step 6: Final answer
    x = 55,574.32

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Why These Related Problems?

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