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Finding the Fourth Proportional to 29,826.88, 44,740.59 and 9,050.38

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Solution

The fourth proportional to 29,826.88, 44,740.59 and 9,050.38 is: 13,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.88 : 44,740.59 = 9,050.38 : x
  2. Step 2: Convert to fraction form
    29,826.88/44,740.59 = 9,050.38/x
  3. Step 3: Cross multiply
    29,826.88x = 44,740.59 × 9,050.38
  4. Step 4: Simplify right side
    29,826.88x = 404,919,071.97
  5. Step 5: Solve for x
    x = 404,919,071.97/29,826.88
  6. Step 6: Final answer
    x = 13,575.65

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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.