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Finding the Fourth Proportional to 46,101.70, 69,143.10 and 12,813.40

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Solution

The fourth proportional to 46,101.70, 69,143.10 and 12,813.40 is: 19,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,101.70 : 69,143.10 = 12,813.40 : x
  2. Step 2: Convert to fraction form
    46,101.70/69,143.10 = 12,813.40/x
  3. Step 3: Cross multiply
    46,101.70x = 69,143.10 × 12,813.40
  4. Step 4: Simplify right side
    46,101.70x = 885,958,197.54
  5. Step 5: Solve for x
    x = 885,958,197.54/46,101.70
  6. Step 6: Final answer
    x = 19,217.47

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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.