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Finding the Fourth Proportional to 29,792.40, 44,673.32 and 15,760

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Solution

The fourth proportional to 29,792.40, 44,673.32 and 15,760 is: 23,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,792.40 : 44,673.32 = 15,760 : x
  2. Step 2: Convert to fraction form
    29,792.40/44,673.32 = 15,760/x
  3. Step 3: Cross multiply
    29,792.40x = 44,673.32 × 15,760
  4. Step 4: Simplify right side
    29,792.40x = 704,051,523.20
  5. Step 5: Solve for x
    x = 704,051,523.20/29,792.40
  6. Step 6: Final answer
    x = 23,631.92

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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.