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Finding the Fourth Proportional to 34,526.04, 51,791.22 and 13,749

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Solution

The fourth proportional to 34,526.04, 51,791.22 and 13,749 is: 20,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,526.04 : 51,791.22 = 13,749 : x
  2. Step 2: Convert to fraction form
    34,526.04/51,791.22 = 13,749/x
  3. Step 3: Cross multiply
    34,526.04x = 51,791.22 × 13,749
  4. Step 4: Simplify right side
    34,526.04x = 712,077,483.78
  5. Step 5: Solve for x
    x = 712,077,483.78/34,526.04
  6. Step 6: Final answer
    x = 20,624.36

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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.