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Finding the Fourth Proportional to 30,671.49, 46,007.18 and 9,613.16

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Solution

The fourth proportional to 30,671.49, 46,007.18 and 9,613.16 is: 14,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.49 : 46,007.18 = 9,613.16 : x
  2. Step 2: Convert to fraction form
    30,671.49/46,007.18 = 9,613.16/x
  3. Step 3: Cross multiply
    30,671.49x = 46,007.18 × 9,613.16
  4. Step 4: Simplify right side
    30,671.49x = 442,274,382.49
  5. Step 5: Solve for x
    x = 442,274,382.49/30,671.49
  6. Step 6: Final answer
    x = 14,419.72

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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.