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Finding the Fourth Proportional to 29,826.50, 44,740.02 and 9,050

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Solution

The fourth proportional to 29,826.50, 44,740.02 and 9,050 is: 13,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.50 : 44,740.02 = 9,050 : x
  2. Step 2: Convert to fraction form
    29,826.50/44,740.02 = 9,050/x
  3. Step 3: Cross multiply
    29,826.50x = 44,740.02 × 9,050
  4. Step 4: Simplify right side
    29,826.50x = 404,897,181
  5. Step 5: Solve for x
    x = 404,897,181/29,826.50
  6. Step 6: Final answer
    x = 13,575.08

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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.