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Finding the Fourth Proportional to 30,743.82, 46,116.81 and 9,967.50

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Solution

The fourth proportional to 30,743.82, 46,116.81 and 9,967.50 is: 14,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.82 : 46,116.81 = 9,967.50 : x
  2. Step 2: Convert to fraction form
    30,743.82/46,116.81 = 9,967.50/x
  3. Step 3: Cross multiply
    30,743.82x = 46,116.81 × 9,967.50
  4. Step 4: Simplify right side
    30,743.82x = 459,669,303.68
  5. Step 5: Solve for x
    x = 459,669,303.68/30,743.82
  6. Step 6: Final answer
    x = 14,951.60

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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.