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Finding the Fourth Proportional to 102,586.58, 153,902.19 and 32,466.50

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Solution

The fourth proportional to 102,586.58, 153,902.19 and 32,466.50 is: 48,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.58 : 153,902.19 = 32,466.50 : x
  2. Step 2: Convert to fraction form
    102,586.58/153,902.19 = 32,466.50/x
  3. Step 3: Cross multiply
    102,586.58x = 153,902.19 × 32,466.50
  4. Step 4: Simplify right side
    102,586.58x = 4,996,665,451.64
  5. Step 5: Solve for x
    x = 4,996,665,451.64/102,586.58
  6. Step 6: Final answer
    x = 48,706.81

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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.