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Finding the Fourth Proportional to 32,551.36, 48,827.04 and 11,770

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Solution

The fourth proportional to 32,551.36, 48,827.04 and 11,770 is: 17,655

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.36 : 48,827.04 = 11,770 : x
  2. Step 2: Convert to fraction form
    32,551.36/48,827.04 = 11,770/x
  3. Step 3: Cross multiply
    32,551.36x = 48,827.04 × 11,770
  4. Step 4: Simplify right side
    32,551.36x = 574,694,260.80
  5. Step 5: Solve for x
    x = 574,694,260.80/32,551.36
  6. Step 6: Final answer
    x = 17,655

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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.