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Finding the Fourth Proportional to 54,861.36, 82,292.04 and 13,308

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Solution

The fourth proportional to 54,861.36, 82,292.04 and 13,308 is: 19,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,861.36 : 82,292.04 = 13,308 : x
  2. Step 2: Convert to fraction form
    54,861.36/82,292.04 = 13,308/x
  3. Step 3: Cross multiply
    54,861.36x = 82,292.04 × 13,308
  4. Step 4: Simplify right side
    54,861.36x = 1,095,142,468.32
  5. Step 5: Solve for x
    x = 1,095,142,468.32/54,861.36
  6. Step 6: Final answer
    x = 19,962

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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.