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Finding the Fourth Proportional to 30,743.32, 46,116.06 and 9,967

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Solution

The fourth proportional to 30,743.32, 46,116.06 and 9,967 is: 14,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.32 : 46,116.06 = 9,967 : x
  2. Step 2: Convert to fraction form
    30,743.32/46,116.06 = 9,967/x
  3. Step 3: Cross multiply
    30,743.32x = 46,116.06 × 9,967
  4. Step 4: Simplify right side
    30,743.32x = 459,638,770.02
  5. Step 5: Solve for x
    x = 459,638,770.02/30,743.32
  6. Step 6: Final answer
    x = 14,950.85

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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.