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Finding the Fourth Proportional to 72,832.96, 100,502.64 and 53,723.14

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Solution

The fourth proportional to 72,832.96, 100,502.64 and 53,723.14 is: 74,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832.96 : 100,502.64 = 53,723.14 : x
  2. Step 2: Convert to fraction form
    72,832.96/100,502.64 = 53,723.14/x
  3. Step 3: Cross multiply
    72,832.96x = 100,502.64 × 53,723.14
  4. Step 4: Simplify right side
    72,832.96x = 5,399,317,399.09
  5. Step 5: Solve for x
    x = 5,399,317,399.09/72,832.96
  6. Step 6: Final answer
    x = 74,132.88

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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.