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Finding the Fourth Proportional to 30,890.20, 46,334.92 and 7,516.84

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Solution

The fourth proportional to 30,890.20, 46,334.92 and 7,516.84 is: 11,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.20 : 46,334.92 = 7,516.84 : x
  2. Step 2: Convert to fraction form
    30,890.20/46,334.92 = 7,516.84/x
  3. Step 3: Cross multiply
    30,890.20x = 46,334.92 × 7,516.84
  4. Step 4: Simplify right side
    30,890.20x = 348,292,180.05
  5. Step 5: Solve for x
    x = 348,292,180.05/30,890.20
  6. Step 6: Final answer
    x = 11,275.17

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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.