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Finding the Fourth Proportional to 54,930, 75,803.40 and 29,779.50

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Solution

The fourth proportional to 54,930, 75,803.40 and 29,779.50 is: 41,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930 : 75,803.40 = 29,779.50 : x
  2. Step 2: Convert to fraction form
    54,930/75,803.40 = 29,779.50/x
  3. Step 3: Cross multiply
    54,930x = 75,803.40 × 29,779.50
  4. Step 4: Simplify right side
    54,930x = 2,257,387,350.30
  5. Step 5: Solve for x
    x = 2,257,387,350.30/54,930
  6. Step 6: Final answer
    x = 41,095.71

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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.