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Finding the Fourth Proportional to 29,762.94, 44,651.22 and 12,898.78

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Solution

The fourth proportional to 29,762.94, 44,651.22 and 12,898.78 is: 19,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.94 : 44,651.22 = 12,898.78 : x
  2. Step 2: Convert to fraction form
    29,762.94/44,651.22 = 12,898.78/x
  3. Step 3: Cross multiply
    29,762.94x = 44,651.22 × 12,898.78
  4. Step 4: Simplify right side
    29,762.94x = 575,946,147.99
  5. Step 5: Solve for x
    x = 575,946,147.99/29,762.94
  6. Step 6: Final answer
    x = 19,351.12

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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.