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Finding the Fourth Proportional to 35,792.98, 49,395.24 and 19,878.10

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Solution

The fourth proportional to 35,792.98, 49,395.24 and 19,878.10 is: 27,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792.98 : 49,395.24 = 19,878.10 : x
  2. Step 2: Convert to fraction form
    35,792.98/49,395.24 = 19,878.10/x
  3. Step 3: Cross multiply
    35,792.98x = 49,395.24 × 19,878.10
  4. Step 4: Simplify right side
    35,792.98x = 981,883,520.24
  5. Step 5: Solve for x
    x = 981,883,520.24/35,792.98
  6. Step 6: Final answer
    x = 27,432.29

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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.