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Finding the Fourth Proportional to 29,838.63, 44,748.78 and 9,844.43

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Solution

The fourth proportional to 29,838.63, 44,748.78 and 9,844.43 is: 14,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.63 : 44,748.78 = 9,844.43 : x
  2. Step 2: Convert to fraction form
    29,838.63/44,748.78 = 9,844.43/x
  3. Step 3: Cross multiply
    29,838.63x = 44,748.78 × 9,844.43
  4. Step 4: Simplify right side
    29,838.63x = 440,526,008.55
  5. Step 5: Solve for x
    x = 440,526,008.55/29,838.63
  6. Step 6: Final answer
    x = 14,763.61

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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.