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Finding the Fourth Proportional to 30,753.36, 46,148.40 and 13,222.80

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Solution

The fourth proportional to 30,753.36, 46,148.40 and 13,222.80 is: 19,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.36 : 46,148.40 = 13,222.80 : x
  2. Step 2: Convert to fraction form
    30,753.36/46,148.40 = 13,222.80/x
  3. Step 3: Cross multiply
    30,753.36x = 46,148.40 × 13,222.80
  4. Step 4: Simplify right side
    30,753.36x = 610,211,063.52
  5. Step 5: Solve for x
    x = 610,211,063.52/30,753.36
  6. Step 6: Final answer
    x = 19,842.09

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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.