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Finding the Fourth Proportional to 30,967.19, 46,436.61 and 9,903.14

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Solution

The fourth proportional to 30,967.19, 46,436.61 and 9,903.14 is: 14,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.19 : 46,436.61 = 9,903.14 : x
  2. Step 2: Convert to fraction form
    30,967.19/46,436.61 = 9,903.14/x
  3. Step 3: Cross multiply
    30,967.19x = 46,436.61 × 9,903.14
  4. Step 4: Simplify right side
    30,967.19x = 459,868,249.96
  5. Step 5: Solve for x
    x = 459,868,249.96/30,967.19
  6. Step 6: Final answer
    x = 14,850.18

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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.