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Finding the Fourth Proportional to 53,667.50, 80,538.16 and 18,607.16

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Solution

The fourth proportional to 53,667.50, 80,538.16 and 18,607.16 is: 27,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,667.50 : 80,538.16 = 18,607.16 : x
  2. Step 2: Convert to fraction form
    53,667.50/80,538.16 = 18,607.16/x
  3. Step 3: Cross multiply
    53,667.50x = 80,538.16 × 18,607.16
  4. Step 4: Simplify right side
    53,667.50x = 1,498,586,351.81
  5. Step 5: Solve for x
    x = 1,498,586,351.81/53,667.50
  6. Step 6: Final answer
    x = 27,923.53

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1.5x scale

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.