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Finding the Fourth Proportional to 93,643.72, 140,399.87 and 34,471.80

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Solution

The fourth proportional to 93,643.72, 140,399.87 and 34,471.80 is: 51,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,643.72 : 140,399.87 = 34,471.80 : x
  2. Step 2: Convert to fraction form
    93,643.72/140,399.87 = 34,471.80/x
  3. Step 3: Cross multiply
    93,643.72x = 140,399.87 × 34,471.80
  4. Step 4: Simplify right side
    93,643.72x = 4,839,836,066.31
  5. Step 5: Solve for x
    x = 4,839,836,066.31/93,643.72
  6. Step 6: Final answer
    x = 51,683.51

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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.