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Finding the Fourth Proportional to 30,849.40, 46,274.10 and 8,663.50

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Solution

The fourth proportional to 30,849.40, 46,274.10 and 8,663.50 is: 12,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.40 : 46,274.10 = 8,663.50 : x
  2. Step 2: Convert to fraction form
    30,849.40/46,274.10 = 8,663.50/x
  3. Step 3: Cross multiply
    30,849.40x = 46,274.10 × 8,663.50
  4. Step 4: Simplify right side
    30,849.40x = 400,895,665.35
  5. Step 5: Solve for x
    x = 400,895,665.35/30,849.40
  6. Step 6: Final answer
    x = 12,995.25

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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.