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Finding the Fourth Proportional to 70,507.38, 105,729.94 and 33,037.19

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Solution

The fourth proportional to 70,507.38, 105,729.94 and 33,037.19 is: 49,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.38 : 105,729.94 = 33,037.19 : x
  2. Step 2: Convert to fraction form
    70,507.38/105,729.94 = 33,037.19/x
  3. Step 3: Cross multiply
    70,507.38x = 105,729.94 × 33,037.19
  4. Step 4: Simplify right side
    70,507.38x = 3,493,020,025.60
  5. Step 5: Solve for x
    x = 3,493,020,025.60/70,507.38
  6. Step 6: Final answer
    x = 49,541.19

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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.