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Finding the Fourth Proportional to 29,746.32, 41,051.06 and 16,318.14

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Solution

The fourth proportional to 29,746.32, 41,051.06 and 16,318.14 is: 22,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746.32 : 41,051.06 = 16,318.14 : x
  2. Step 2: Convert to fraction form
    29,746.32/41,051.06 = 16,318.14/x
  3. Step 3: Cross multiply
    29,746.32x = 41,051.06 × 16,318.14
  4. Step 4: Simplify right side
    29,746.32x = 669,876,944.23
  5. Step 5: Solve for x
    x = 669,876,944.23/29,746.32
  6. Step 6: Final answer
    x = 22,519.66

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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.