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Finding the Fourth Proportional to 30,719.50, 46,086.82 and 9,943

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Solution

The fourth proportional to 30,719.50, 46,086.82 and 9,943 is: 14,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.50 : 46,086.82 = 9,943 : x
  2. Step 2: Convert to fraction form
    30,719.50/46,086.82 = 9,943/x
  3. Step 3: Cross multiply
    30,719.50x = 46,086.82 × 9,943
  4. Step 4: Simplify right side
    30,719.50x = 458,241,251.26
  5. Step 5: Solve for x
    x = 458,241,251.26/30,719.50
  6. Step 6: Final answer
    x = 14,916.95

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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.