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Finding the Fourth Proportional to 54,658.50, 75,415.77 and 30,780.42

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Solution

The fourth proportional to 54,658.50, 75,415.77 and 30,780.42 is: 42,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.50 : 75,415.77 = 30,780.42 : x
  2. Step 2: Convert to fraction form
    54,658.50/75,415.77 = 30,780.42/x
  3. Step 3: Cross multiply
    54,658.50x = 75,415.77 × 30,780.42
  4. Step 4: Simplify right side
    54,658.50x = 2,321,329,075.22
  5. Step 5: Solve for x
    x = 2,321,329,075.22/54,658.50
  6. Step 6: Final answer
    x = 42,469.68

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