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Finding the Fourth Proportional to 29,836.58, 44,751.53 and 7,650.47

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Solution

The fourth proportional to 29,836.58, 44,751.53 and 7,650.47 is: 11,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.58 : 44,751.53 = 7,650.47 : x
  2. Step 2: Convert to fraction form
    29,836.58/44,751.53 = 7,650.47/x
  3. Step 3: Cross multiply
    29,836.58x = 44,751.53 × 7,650.47
  4. Step 4: Simplify right side
    29,836.58x = 342,369,975.71
  5. Step 5: Solve for x
    x = 342,369,975.71/29,836.58
  6. Step 6: Final answer
    x = 11,474.84

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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.