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Finding the Fourth Proportional to 30,896.65, 46,344.57 and 7,523.11

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Solution

The fourth proportional to 30,896.65, 46,344.57 and 7,523.11 is: 11,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.65 : 46,344.57 = 7,523.11 : x
  2. Step 2: Convert to fraction form
    30,896.65/46,344.57 = 7,523.11/x
  3. Step 3: Cross multiply
    30,896.65x = 46,344.57 × 7,523.11
  4. Step 4: Simplify right side
    30,896.65x = 348,655,298.01
  5. Step 5: Solve for x
    x = 348,655,298.01/30,896.65
  6. Step 6: Final answer
    x = 11,284.57

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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.