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Finding the Fourth Proportional to 51,409.50, 70,945.56 and 30,189.12

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Solution

The fourth proportional to 51,409.50, 70,945.56 and 30,189.12 is: 41,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.50 : 70,945.56 = 30,189.12 : x
  2. Step 2: Convert to fraction form
    51,409.50/70,945.56 = 30,189.12/x
  3. Step 3: Cross multiply
    51,409.50x = 70,945.56 × 30,189.12
  4. Step 4: Simplify right side
    51,409.50x = 2,141,784,024.31
  5. Step 5: Solve for x
    x = 2,141,784,024.31/51,409.50
  6. Step 6: Final answer
    x = 41,661.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.