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Finding the Fourth Proportional to 30,084.64, 45,122.48 and 7,898.40

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Solution

The fourth proportional to 30,084.64, 45,122.48 and 7,898.40 is: 11,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.64 : 45,122.48 = 7,898.40 : x
  2. Step 2: Convert to fraction form
    30,084.64/45,122.48 = 7,898.40/x
  3. Step 3: Cross multiply
    30,084.64x = 45,122.48 × 7,898.40
  4. Step 4: Simplify right side
    30,084.64x = 356,395,396.03
  5. Step 5: Solve for x
    x = 356,395,396.03/30,084.64
  6. Step 6: Final answer
    x = 11,846.42

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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.