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Finding the Fourth Proportional to 63,664.90, 95,367.34 and 30,284

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Solution

The fourth proportional to 63,664.90, 95,367.34 and 30,284 is: 45,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,664.90 : 95,367.34 = 30,284 : x
  2. Step 2: Convert to fraction form
    63,664.90/95,367.34 = 30,284/x
  3. Step 3: Cross multiply
    63,664.90x = 95,367.34 × 30,284
  4. Step 4: Simplify right side
    63,664.90x = 2,888,104,524.56
  5. Step 5: Solve for x
    x = 2,888,104,524.56/63,664.90
  6. Step 6: Final answer
    x = 45,364.16

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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.