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Finding the Fourth Proportional to 30,852.96, 46,279.72 and 7,479.44

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Solution

The fourth proportional to 30,852.96, 46,279.72 and 7,479.44 is: 11,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.96 : 46,279.72 = 7,479.44 : x
  2. Step 2: Convert to fraction form
    30,852.96/46,279.72 = 7,479.44/x
  3. Step 3: Cross multiply
    30,852.96x = 46,279.72 × 7,479.44
  4. Step 4: Simplify right side
    30,852.96x = 346,146,388.96
  5. Step 5: Solve for x
    x = 346,146,388.96/30,852.96
  6. Step 6: Final answer
    x = 11,219.23

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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.