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Finding the Fourth Proportional to 29,409.74, 44,117 and 17,643.91

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Solution

The fourth proportional to 29,409.74, 44,117 and 17,643.91 is: 26,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409.74 : 44,117 = 17,643.91 : x
  2. Step 2: Convert to fraction form
    29,409.74/44,117 = 17,643.91/x
  3. Step 3: Cross multiply
    29,409.74x = 44,117 × 17,643.91
  4. Step 4: Simplify right side
    29,409.74x = 778,396,377.47
  5. Step 5: Solve for x
    x = 778,396,377.47/29,409.74
  6. Step 6: Final answer
    x = 26,467.30

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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.