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Finding the Fourth Proportional to 32,208.94, 48,312.96 and 11,164.30

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Solution

The fourth proportional to 32,208.94, 48,312.96 and 11,164.30 is: 16,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.94 : 48,312.96 = 11,164.30 : x
  2. Step 2: Convert to fraction form
    32,208.94/48,312.96 = 11,164.30/x
  3. Step 3: Cross multiply
    32,208.94x = 48,312.96 × 11,164.30
  4. Step 4: Simplify right side
    32,208.94x = 539,380,379.33
  5. Step 5: Solve for x
    x = 539,380,379.33/32,208.94
  6. Step 6: Final answer
    x = 16,746.29

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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.