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Finding the Fourth Proportional to 103,193.33, 154,763.66 and 32,102.06

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Solution

The fourth proportional to 103,193.33, 154,763.66 and 32,102.06 is: 48,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,193.33 : 154,763.66 = 32,102.06 : x
  2. Step 2: Convert to fraction form
    103,193.33/154,763.66 = 32,102.06/x
  3. Step 3: Cross multiply
    103,193.33x = 154,763.66 × 32,102.06
  4. Step 4: Simplify right side
    103,193.33x = 4,968,231,605.58
  5. Step 5: Solve for x
    x = 4,968,231,605.58/103,193.33
  6. Step 6: Final answer
    x = 48,144.89

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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.