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Finding the Fourth Proportional to 82,991.54, 114,527.80 and 47,181.56

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Solution

The fourth proportional to 82,991.54, 114,527.80 and 47,181.56 is: 65,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.54 : 114,527.80 = 47,181.56 : x
  2. Step 2: Convert to fraction form
    82,991.54/114,527.80 = 47,181.56/x
  3. Step 3: Cross multiply
    82,991.54x = 114,527.80 × 47,181.56
  4. Step 4: Simplify right side
    82,991.54x = 5,403,600,267.37
  5. Step 5: Solve for x
    x = 5,403,600,267.37/82,991.54
  6. Step 6: Final answer
    x = 65,110.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.