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Finding the Fourth Proportional to 32,577.36, 48,866.08 and 11,796

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Solution

The fourth proportional to 32,577.36, 48,866.08 and 11,796 is: 17,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.36 : 48,866.08 = 11,796 : x
  2. Step 2: Convert to fraction form
    32,577.36/48,866.08 = 11,796/x
  3. Step 3: Cross multiply
    32,577.36x = 48,866.08 × 11,796
  4. Step 4: Simplify right side
    32,577.36x = 576,424,279.68
  5. Step 5: Solve for x
    x = 576,424,279.68/32,577.36
  6. Step 6: Final answer
    x = 17,694.01

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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.