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Finding the Fourth Proportional to 29,746.42, 41,051.21 and 16,318.24

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Solution

The fourth proportional to 29,746.42, 41,051.21 and 16,318.24 is: 22,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746.42 : 41,051.21 = 16,318.24 : x
  2. Step 2: Convert to fraction form
    29,746.42/41,051.21 = 16,318.24/x
  3. Step 3: Cross multiply
    29,746.42x = 41,051.21 × 16,318.24
  4. Step 4: Simplify right side
    29,746.42x = 669,883,312.85
  5. Step 5: Solve for x
    x = 669,883,312.85/29,746.42
  6. Step 6: Final answer
    x = 22,519.80

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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.