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Finding the Fourth Proportional to 70,635.63, 105,763.73 and 37,286.31

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Solution

The fourth proportional to 70,635.63, 105,763.73 and 37,286.31 is: 55,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,635.63 : 105,763.73 = 37,286.31 : x
  2. Step 2: Convert to fraction form
    70,635.63/105,763.73 = 37,286.31/x
  3. Step 3: Cross multiply
    70,635.63x = 105,763.73 × 37,286.31
  4. Step 4: Simplify right side
    70,635.63x = 3,943,539,037.10
  5. Step 5: Solve for x
    x = 3,943,539,037.10/70,635.63
  6. Step 6: Final answer
    x = 55,829.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.