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Finding the Fourth Proportional to 46,578.70, 69,878.90 and 13,299.22

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Solution

The fourth proportional to 46,578.70, 69,878.90 and 13,299.22 is: 19,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,578.70 : 69,878.90 = 13,299.22 : x
  2. Step 2: Convert to fraction form
    46,578.70/69,878.90 = 13,299.22/x
  3. Step 3: Cross multiply
    46,578.70x = 69,878.90 × 13,299.22
  4. Step 4: Simplify right side
    46,578.70x = 929,334,864.46
  5. Step 5: Solve for x
    x = 929,334,864.46/46,578.70
  6. Step 6: Final answer
    x = 19,951.93

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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.