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Finding the Fourth Proportional to 30,716.70, 46,063.53 and 13,177.50

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Solution

The fourth proportional to 30,716.70, 46,063.53 and 13,177.50 is: 19,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.70 : 46,063.53 = 13,177.50 : x
  2. Step 2: Convert to fraction form
    30,716.70/46,063.53 = 13,177.50/x
  3. Step 3: Cross multiply
    30,716.70x = 46,063.53 × 13,177.50
  4. Step 4: Simplify right side
    30,716.70x = 607,002,166.58
  5. Step 5: Solve for x
    x = 607,002,166.58/30,716.70
  6. Step 6: Final answer
    x = 19,761.31

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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.