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Finding the Fourth Proportional to 29,709.19, 41,005.88 and 19,097.38

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Solution

The fourth proportional to 29,709.19, 41,005.88 and 19,097.38 is: 26,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.19 : 41,005.88 = 19,097.38 : x
  2. Step 2: Convert to fraction form
    29,709.19/41,005.88 = 19,097.38/x
  3. Step 3: Cross multiply
    29,709.19x = 41,005.88 × 19,097.38
  4. Step 4: Simplify right side
    29,709.19x = 783,104,872.59
  5. Step 5: Solve for x
    x = 783,104,872.59/29,709.19
  6. Step 6: Final answer
    x = 26,359.01

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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.