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Finding the Fourth Proportional to 29,842.14, 44,735.37 and 10,106.91

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Solution

The fourth proportional to 29,842.14, 44,735.37 and 10,106.91 is: 15,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.14 : 44,735.37 = 10,106.91 : x
  2. Step 2: Convert to fraction form
    29,842.14/44,735.37 = 10,106.91/x
  3. Step 3: Cross multiply
    29,842.14x = 44,735.37 × 10,106.91
  4. Step 4: Simplify right side
    29,842.14x = 452,136,358.41
  5. Step 5: Solve for x
    x = 452,136,358.41/29,842.14
  6. Step 6: Final answer
    x = 15,150.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.