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Finding the Fourth Proportional to 34,406.10, 51,596.55 and 27,024.93

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Solution

The fourth proportional to 34,406.10, 51,596.55 and 27,024.93 is: 40,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.10 : 51,596.55 = 27,024.93 : x
  2. Step 2: Convert to fraction form
    34,406.10/51,596.55 = 27,024.93/x
  3. Step 3: Cross multiply
    34,406.10x = 51,596.55 × 27,024.93
  4. Step 4: Simplify right side
    34,406.10x = 1,394,393,151.99
  5. Step 5: Solve for x
    x = 1,394,393,151.99/34,406.10
  6. Step 6: Final answer
    x = 40,527.50

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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.