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Finding the Fourth Proportional to 29,485.85, 40,690.74 and 16,057.17

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Solution

The fourth proportional to 29,485.85, 40,690.74 and 16,057.17 is: 22,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,485.85 : 40,690.74 = 16,057.17 : x
  2. Step 2: Convert to fraction form
    29,485.85/40,690.74 = 16,057.17/x
  3. Step 3: Cross multiply
    29,485.85x = 40,690.74 × 16,057.17
  4. Step 4: Simplify right side
    29,485.85x = 653,377,845.87
  5. Step 5: Solve for x
    x = 653,377,845.87/29,485.85
  6. Step 6: Final answer
    x = 22,159.03

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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.