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Finding the Fourth Proportional to 30,490.83, 45,735.36 and 8,304.39

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Solution

The fourth proportional to 30,490.83, 45,735.36 and 8,304.39 is: 12,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.83 : 45,735.36 = 8,304.39 : x
  2. Step 2: Convert to fraction form
    30,490.83/45,735.36 = 8,304.39/x
  3. Step 3: Cross multiply
    30,490.83x = 45,735.36 × 8,304.39
  4. Step 4: Simplify right side
    30,490.83x = 379,804,224.71
  5. Step 5: Solve for x
    x = 379,804,224.71/30,490.83
  6. Step 6: Final answer
    x = 12,456.34

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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.