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Finding the Fourth Proportional to 57,769.76, 86,667.60 and 18,328.16

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Solution

The fourth proportional to 57,769.76, 86,667.60 and 18,328.16 is: 27,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.76 : 86,667.60 = 18,328.16 : x
  2. Step 2: Convert to fraction form
    57,769.76/86,667.60 = 18,328.16/x
  3. Step 3: Cross multiply
    57,769.76x = 86,667.60 × 18,328.16
  4. Step 4: Simplify right side
    57,769.76x = 1,588,457,639.62
  5. Step 5: Solve for x
    x = 1,588,457,639.62/57,769.76
  6. Step 6: Final answer
    x = 27,496.35

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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.