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Finding the Fourth Proportional to 54,810.51, 82,241.15 and 29,820.80

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Solution

The fourth proportional to 54,810.51, 82,241.15 and 29,820.80 is: 44,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810.51 : 82,241.15 = 29,820.80 : x
  2. Step 2: Convert to fraction form
    54,810.51/82,241.15 = 29,820.80/x
  3. Step 3: Cross multiply
    54,810.51x = 82,241.15 × 29,820.80
  4. Step 4: Simplify right side
    54,810.51x = 2,452,496,325.61
  5. Step 5: Solve for x
    x = 2,452,496,325.61/54,810.51
  6. Step 6: Final answer
    x = 44,745.00

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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.