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Finding the Fourth Proportional to 30,705.98, 46,058.96 and 8,519.36

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Solution

The fourth proportional to 30,705.98, 46,058.96 and 8,519.36 is: 12,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.98 : 46,058.96 = 8,519.36 : x
  2. Step 2: Convert to fraction form
    30,705.98/46,058.96 = 8,519.36/x
  3. Step 3: Cross multiply
    30,705.98x = 46,058.96 × 8,519.36
  4. Step 4: Simplify right side
    30,705.98x = 392,392,652.47
  5. Step 5: Solve for x
    x = 392,392,652.47/30,705.98
  6. Step 6: Final answer
    x = 12,779.03

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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.