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Finding the Fourth Proportional to 43,349.83, 65,037.85 and 30,724

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Solution

The fourth proportional to 43,349.83, 65,037.85 and 30,724 is: 46,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,349.83 : 65,037.85 = 30,724 : x
  2. Step 2: Convert to fraction form
    43,349.83/65,037.85 = 30,724/x
  3. Step 3: Cross multiply
    43,349.83x = 65,037.85 × 30,724
  4. Step 4: Simplify right side
    43,349.83x = 1,998,222,903.40
  5. Step 5: Solve for x
    x = 1,998,222,903.40/43,349.83
  6. Step 6: Final answer
    x = 46,095.29

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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.