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Finding the Fourth Proportional to 30,849.67, 46,274.51 and 7,476.11

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Solution

The fourth proportional to 30,849.67, 46,274.51 and 7,476.11 is: 11,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.67 : 46,274.51 = 7,476.11 : x
  2. Step 2: Convert to fraction form
    30,849.67/46,274.51 = 7,476.11/x
  3. Step 3: Cross multiply
    30,849.67x = 46,274.51 × 7,476.11
  4. Step 4: Simplify right side
    30,849.67x = 345,953,326.96
  5. Step 5: Solve for x
    x = 345,953,326.96/30,849.67
  6. Step 6: Final answer
    x = 11,214.17

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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.