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Finding the Fourth Proportional to 29,964.12, 41,333.02 and 19,205.16

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Solution

The fourth proportional to 29,964.12, 41,333.02 and 19,205.16 is: 26,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964.12 : 41,333.02 = 19,205.16 : x
  2. Step 2: Convert to fraction form
    29,964.12/41,333.02 = 19,205.16/x
  3. Step 3: Cross multiply
    29,964.12x = 41,333.02 × 19,205.16
  4. Step 4: Simplify right side
    29,964.12x = 793,807,262.38
  5. Step 5: Solve for x
    x = 793,807,262.38/29,964.12
  6. Step 6: Final answer
    x = 26,491.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.