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Finding the Fourth Proportional to 32,104.16, 48,144.27 and 11,038.25

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Solution

The fourth proportional to 32,104.16, 48,144.27 and 11,038.25 is: 16,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.16 : 48,144.27 = 11,038.25 : x
  2. Step 2: Convert to fraction form
    32,104.16/48,144.27 = 11,038.25/x
  3. Step 3: Cross multiply
    32,104.16x = 48,144.27 × 11,038.25
  4. Step 4: Simplify right side
    32,104.16x = 531,428,247.61
  5. Step 5: Solve for x
    x = 531,428,247.61/32,104.16
  6. Step 6: Final answer
    x = 16,553.25

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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.