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Finding the Fourth Proportional to 30,718.13, 46,084.50 and 9,941.63

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Solution

The fourth proportional to 30,718.13, 46,084.50 and 9,941.63 is: 14,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.13 : 46,084.50 = 9,941.63 : x
  2. Step 2: Convert to fraction form
    30,718.13/46,084.50 = 9,941.63/x
  3. Step 3: Cross multiply
    30,718.13x = 46,084.50 × 9,941.63
  4. Step 4: Simplify right side
    30,718.13x = 458,154,817.31
  5. Step 5: Solve for x
    x = 458,154,817.31/30,718.13
  6. Step 6: Final answer
    x = 14,914.80

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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.