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Finding the Fourth Proportional to 93,546, 140,231.52 and 34,365.78

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Solution

The fourth proportional to 93,546, 140,231.52 and 34,365.78 is: 51,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,546 : 140,231.52 = 34,365.78 : x
  2. Step 2: Convert to fraction form
    93,546/140,231.52 = 34,365.78/x
  3. Step 3: Cross multiply
    93,546x = 140,231.52 × 34,365.78
  4. Step 4: Simplify right side
    93,546x = 4,819,165,565.39
  5. Step 5: Solve for x
    x = 4,819,165,565.39/93,546
  6. Step 6: Final answer
    x = 51,516.53

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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.