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Finding the Fourth Proportional to 41,106.19, 61,661.41 and 13,029.23

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Solution

The fourth proportional to 41,106.19, 61,661.41 and 13,029.23 is: 19,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106.19 : 61,661.41 = 13,029.23 : x
  2. Step 2: Convert to fraction form
    41,106.19/61,661.41 = 13,029.23/x
  3. Step 3: Cross multiply
    41,106.19x = 61,661.41 × 13,029.23
  4. Step 4: Simplify right side
    41,106.19x = 803,400,693.01
  5. Step 5: Solve for x
    x = 803,400,693.01/41,106.19
  6. Step 6: Final answer
    x = 19,544.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.