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Finding the Fourth Proportional to 29,545.16, 44,317.74 and 9,823.88

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Solution

The fourth proportional to 29,545.16, 44,317.74 and 9,823.88 is: 14,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545.16 : 44,317.74 = 9,823.88 : x
  2. Step 2: Convert to fraction form
    29,545.16/44,317.74 = 9,823.88/x
  3. Step 3: Cross multiply
    29,545.16x = 44,317.74 × 9,823.88
  4. Step 4: Simplify right side
    29,545.16x = 435,372,245.87
  5. Step 5: Solve for x
    x = 435,372,245.87/29,545.16
  6. Step 6: Final answer
    x = 14,735.83

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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.