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Finding the Fourth Proportional to 70,486.98, 105,695.50 and 22,449.32

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Solution

The fourth proportional to 70,486.98, 105,695.50 and 22,449.32 is: 33,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.98 : 105,695.50 = 22,449.32 : x
  2. Step 2: Convert to fraction form
    70,486.98/105,695.50 = 22,449.32/x
  3. Step 3: Cross multiply
    70,486.98x = 105,695.50 × 22,449.32
  4. Step 4: Simplify right side
    70,486.98x = 2,372,792,102.06
  5. Step 5: Solve for x
    x = 2,372,792,102.06/70,486.98
  6. Step 6: Final answer
    x = 33,662.84

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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.