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Finding the Fourth Proportional to 29,405.42, 44,098.76 and 9,678.68

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Solution

The fourth proportional to 29,405.42, 44,098.76 and 9,678.68 is: 14,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.42 : 44,098.76 = 9,678.68 : x
  2. Step 2: Convert to fraction form
    29,405.42/44,098.76 = 9,678.68/x
  3. Step 3: Cross multiply
    29,405.42x = 44,098.76 × 9,678.68
  4. Step 4: Simplify right side
    29,405.42x = 426,817,786.44
  5. Step 5: Solve for x
    x = 426,817,786.44/29,405.42
  6. Step 6: Final answer
    x = 14,514.94

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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.