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Finding the Fourth Proportional to 30,719.63, 46,086.75 and 9,943.13

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Solution

The fourth proportional to 30,719.63, 46,086.75 and 9,943.13 is: 14,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.63 : 46,086.75 = 9,943.13 : x
  2. Step 2: Convert to fraction form
    30,719.63/46,086.75 = 9,943.13/x
  3. Step 3: Cross multiply
    30,719.63x = 46,086.75 × 9,943.13
  4. Step 4: Simplify right side
    30,719.63x = 458,246,316.09
  5. Step 5: Solve for x
    x = 458,246,316.09/30,719.63
  6. Step 6: Final answer
    x = 14,917.05

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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.