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Finding the Fourth Proportional to 29,624.53, 40,854.75 and 23,165

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Solution

The fourth proportional to 29,624.53, 40,854.75 and 23,165 is: 31,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,624.53 : 40,854.75 = 23,165 : x
  2. Step 2: Convert to fraction form
    29,624.53/40,854.75 = 23,165/x
  3. Step 3: Cross multiply
    29,624.53x = 40,854.75 × 23,165
  4. Step 4: Simplify right side
    29,624.53x = 946,400,283.75
  5. Step 5: Solve for x
    x = 946,400,283.75/29,624.53
  6. Step 6: Final answer
    x = 31,946.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.