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Finding the Fourth Proportional to 57,899.50, 86,697 and 46,594.74

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Solution

The fourth proportional to 57,899.50, 86,697 and 46,594.74 is: 69,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,899.50 : 86,697 = 46,594.74 : x
  2. Step 2: Convert to fraction form
    57,899.50/86,697 = 46,594.74/x
  3. Step 3: Cross multiply
    57,899.50x = 86,697 × 46,594.74
  4. Step 4: Simplify right side
    57,899.50x = 4,039,624,173.78
  5. Step 5: Solve for x
    x = 4,039,624,173.78/57,899.50
  6. Step 6: Final answer
    x = 69,769.59

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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.