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Finding the Fourth Proportional to 105,694.77, 145,858.75 and 57,947.12

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Solution

The fourth proportional to 105,694.77, 145,858.75 and 57,947.12 is: 79,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,694.77 : 145,858.75 = 57,947.12 : x
  2. Step 2: Convert to fraction form
    105,694.77/145,858.75 = 57,947.12/x
  3. Step 3: Cross multiply
    105,694.77x = 145,858.75 × 57,947.12
  4. Step 4: Simplify right side
    105,694.77x = 8,452,093,615.14
  5. Step 5: Solve for x
    x = 8,452,093,615.14/105,694.77
  6. Step 6: Final answer
    x = 79,967.00

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Why These Related Problems?

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