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Finding the Fourth Proportional to 55,842.36, 83,751.12 and 16,388.88

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Solution

The fourth proportional to 55,842.36, 83,751.12 and 16,388.88 is: 24,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.36 : 83,751.12 = 16,388.88 : x
  2. Step 2: Convert to fraction form
    55,842.36/83,751.12 = 16,388.88/x
  3. Step 3: Cross multiply
    55,842.36x = 83,751.12 × 16,388.88
  4. Step 4: Simplify right side
    55,842.36x = 1,372,587,055.55
  5. Step 5: Solve for x
    x = 1,372,587,055.55/55,842.36
  6. Step 6: Final answer
    x = 24,579.67

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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.