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Finding the Fourth Proportional to 29,475.50, 44,196.84 and 9,748.76

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Solution

The fourth proportional to 29,475.50, 44,196.84 and 9,748.76 is: 14,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,475.50 : 44,196.84 = 9,748.76 : x
  2. Step 2: Convert to fraction form
    29,475.50/44,196.84 = 9,748.76/x
  3. Step 3: Cross multiply
    29,475.50x = 44,196.84 × 9,748.76
  4. Step 4: Simplify right side
    29,475.50x = 430,864,164.93
  5. Step 5: Solve for x
    x = 430,864,164.93/29,475.50
  6. Step 6: Final answer
    x = 14,617.71

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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.