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Finding the Fourth Proportional to 30,409.36, 41,953.20 and 19,074.24

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Solution

The fourth proportional to 30,409.36, 41,953.20 and 19,074.24 is: 26,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.36 : 41,953.20 = 19,074.24 : x
  2. Step 2: Convert to fraction form
    30,409.36/41,953.20 = 19,074.24/x
  3. Step 3: Cross multiply
    30,409.36x = 41,953.20 × 19,074.24
  4. Step 4: Simplify right side
    30,409.36x = 800,225,405.57
  5. Step 5: Solve for x
    x = 800,225,405.57/30,409.36
  6. Step 6: Final answer
    x = 26,315.10

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