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Finding the Fourth Proportional to 46,918.68, 70,382.60 and 13,639

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Solution

The fourth proportional to 46,918.68, 70,382.60 and 13,639 is: 20,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,918.68 : 70,382.60 = 13,639 : x
  2. Step 2: Convert to fraction form
    46,918.68/70,382.60 = 13,639/x
  3. Step 3: Cross multiply
    46,918.68x = 70,382.60 × 13,639
  4. Step 4: Simplify right side
    46,918.68x = 959,948,281.40
  5. Step 5: Solve for x
    x = 959,948,281.40/46,918.68
  6. Step 6: Final answer
    x = 20,459.83

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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.