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Finding the Fourth Proportional to 93,549.56, 140,278.86 and 31,199

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Solution

The fourth proportional to 93,549.56, 140,278.86 and 31,199 is: 46,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,549.56 : 140,278.86 = 31,199 : x
  2. Step 2: Convert to fraction form
    93,549.56/140,278.86 = 31,199/x
  3. Step 3: Cross multiply
    93,549.56x = 140,278.86 × 31,199
  4. Step 4: Simplify right side
    93,549.56x = 4,376,560,153.14
  5. Step 5: Solve for x
    x = 4,376,560,153.14/93,549.56
  6. Step 6: Final answer
    x = 46,783.33

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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.