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Finding the Fourth Proportional to 70,902.60, 106,328.30 and 35,830.60

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Solution

The fourth proportional to 70,902.60, 106,328.30 and 35,830.60 is: 53,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.60 : 106,328.30 = 35,830.60 : x
  2. Step 2: Convert to fraction form
    70,902.60/106,328.30 = 35,830.60/x
  3. Step 3: Cross multiply
    70,902.60x = 106,328.30 × 35,830.60
  4. Step 4: Simplify right side
    70,902.60x = 3,809,806,785.98
  5. Step 5: Solve for x
    x = 3,809,806,785.98/70,902.60
  6. Step 6: Final answer
    x = 53,732.96

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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.