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Finding the Fourth Proportional to 30,285, 45,427.70 and 10,563.48

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Solution

The fourth proportional to 30,285, 45,427.70 and 10,563.48 is: 15,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285 : 45,427.70 = 10,563.48 : x
  2. Step 2: Convert to fraction form
    30,285/45,427.70 = 10,563.48/x
  3. Step 3: Cross multiply
    30,285x = 45,427.70 × 10,563.48
  4. Step 4: Simplify right side
    30,285x = 479,874,600.40
  5. Step 5: Solve for x
    x = 479,874,600.40/30,285
  6. Step 6: Final answer
    x = 15,845.29

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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.