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Finding the Fourth Proportional to 56,209.60, 84,319.20 and 16,764.16

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Solution

The fourth proportional to 56,209.60, 84,319.20 and 16,764.16 is: 25,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,209.60 : 84,319.20 = 16,764.16 : x
  2. Step 2: Convert to fraction form
    56,209.60/84,319.20 = 16,764.16/x
  3. Step 3: Cross multiply
    56,209.60x = 84,319.20 × 16,764.16
  4. Step 4: Simplify right side
    56,209.60x = 1,413,540,559.87
  5. Step 5: Solve for x
    x = 1,413,540,559.87/56,209.60
  6. Step 6: Final answer
    x = 25,147.67

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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.