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Finding the Fourth Proportional to 30,896.32, 46,344 and 7,522.72

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Solution

The fourth proportional to 30,896.32, 46,344 and 7,522.72 is: 11,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.32 : 46,344 = 7,522.72 : x
  2. Step 2: Convert to fraction form
    30,896.32/46,344 = 7,522.72/x
  3. Step 3: Cross multiply
    30,896.32x = 46,344 × 7,522.72
  4. Step 4: Simplify right side
    30,896.32x = 348,632,935.68
  5. Step 5: Solve for x
    x = 348,632,935.68/30,896.32
  6. Step 6: Final answer
    x = 11,283.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.