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Finding the Fourth Proportional to 54,182.56, 74,777.56 and 31,213.16

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Solution

The fourth proportional to 54,182.56, 74,777.56 and 31,213.16 is: 43,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182.56 : 74,777.56 = 31,213.16 : x
  2. Step 2: Convert to fraction form
    54,182.56/74,777.56 = 31,213.16/x
  3. Step 3: Cross multiply
    54,182.56x = 74,777.56 × 31,213.16
  4. Step 4: Simplify right side
    54,182.56x = 2,334,043,944.69
  5. Step 5: Solve for x
    x = 2,334,043,944.69/54,182.56
  6. Step 6: Final answer
    x = 43,077.40

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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.