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Finding the Fourth Proportional to 34,542.57, 51,779.25 and 14,556.87

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Solution

The fourth proportional to 34,542.57, 51,779.25 and 14,556.87 is: 21,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.57 : 51,779.25 = 14,556.87 : x
  2. Step 2: Convert to fraction form
    34,542.57/51,779.25 = 14,556.87/x
  3. Step 3: Cross multiply
    34,542.57x = 51,779.25 × 14,556.87
  4. Step 4: Simplify right side
    34,542.57x = 753,743,810.95
  5. Step 5: Solve for x
    x = 753,743,810.95/34,542.57
  6. Step 6: Final answer
    x = 21,820.72

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