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Finding the Fourth Proportional to 57,965.36, 86,945.04 and 16,412.48

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Solution

The fourth proportional to 57,965.36, 86,945.04 and 16,412.48 is: 24,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,965.36 : 86,945.04 = 16,412.48 : x
  2. Step 2: Convert to fraction form
    57,965.36/86,945.04 = 16,412.48/x
  3. Step 3: Cross multiply
    57,965.36x = 86,945.04 × 16,412.48
  4. Step 4: Simplify right side
    57,965.36x = 1,426,983,730.10
  5. Step 5: Solve for x
    x = 1,426,983,730.10/57,965.36
  6. Step 6: Final answer
    x = 24,617.87

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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.