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Finding the Fourth Proportional to 29,394.32, 44,096.52 and 9,678.47

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Solution

The fourth proportional to 29,394.32, 44,096.52 and 9,678.47 is: 14,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394.32 : 44,096.52 = 9,678.47 : x
  2. Step 2: Convert to fraction form
    29,394.32/44,096.52 = 9,678.47/x
  3. Step 3: Cross multiply
    29,394.32x = 44,096.52 × 9,678.47
  4. Step 4: Simplify right side
    29,394.32x = 426,786,845.92
  5. Step 5: Solve for x
    x = 426,786,845.92/29,394.32
  6. Step 6: Final answer
    x = 14,519.36

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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.