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Finding the Fourth Proportional to 30,349.36, 45,496 and 19,222.40

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Solution

The fourth proportional to 30,349.36, 45,496 and 19,222.40 is: 28,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,349.36 : 45,496 = 19,222.40 : x
  2. Step 2: Convert to fraction form
    30,349.36/45,496 = 19,222.40/x
  3. Step 3: Cross multiply
    30,349.36x = 45,496 × 19,222.40
  4. Step 4: Simplify right side
    30,349.36x = 874,542,310.40
  5. Step 5: Solve for x
    x = 874,542,310.40/30,349.36
  6. Step 6: Final answer
    x = 28,815.84

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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.