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Finding the Fourth Proportional to 46,506.86, 69,752.83 and 12,765

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Solution

The fourth proportional to 46,506.86, 69,752.83 and 12,765 is: 19,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.86 : 69,752.83 = 12,765 : x
  2. Step 2: Convert to fraction form
    46,506.86/69,752.83 = 12,765/x
  3. Step 3: Cross multiply
    46,506.86x = 69,752.83 × 12,765
  4. Step 4: Simplify right side
    46,506.86x = 890,394,843.04
  5. Step 5: Solve for x
    x = 890,394,843.04/46,506.86
  6. Step 6: Final answer
    x = 19,145.45

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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.