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Finding the Fourth Proportional to 29,574, 40,819.05 and 19,504.26

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Solution

The fourth proportional to 29,574, 40,819.05 and 19,504.26 is: 26,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 40,819.05 = 19,504.26 : x
  2. Step 2: Convert to fraction form
    29,574/40,819.05 = 19,504.26/x
  3. Step 3: Cross multiply
    29,574x = 40,819.05 × 19,504.26
  4. Step 4: Simplify right side
    29,574x = 796,145,364.15
  5. Step 5: Solve for x
    x = 796,145,364.15/29,574
  6. Step 6: Final answer
    x = 26,920.45

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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.