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Finding the Fourth Proportional to 105,574.78, 158,372.48 and 30,695.50

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Solution

The fourth proportional to 105,574.78, 158,372.48 and 30,695.50 is: 46,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,574.78 : 158,372.48 = 30,695.50 : x
  2. Step 2: Convert to fraction form
    105,574.78/158,372.48 = 30,695.50/x
  3. Step 3: Cross multiply
    105,574.78x = 158,372.48 × 30,695.50
  4. Step 4: Simplify right side
    105,574.78x = 4,861,322,459.84
  5. Step 5: Solve for x
    x = 4,861,322,459.84/105,574.78
  6. Step 6: Final answer
    x = 46,046.25

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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.