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Finding the Fourth Proportional to 43,216.50, 64,780.34 and 16,556.24

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Solution

The fourth proportional to 43,216.50, 64,780.34 and 16,556.24 is: 24,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216.50 : 64,780.34 = 16,556.24 : x
  2. Step 2: Convert to fraction form
    43,216.50/64,780.34 = 16,556.24/x
  3. Step 3: Cross multiply
    43,216.50x = 64,780.34 × 16,556.24
  4. Step 4: Simplify right side
    43,216.50x = 1,072,518,856.32
  5. Step 5: Solve for x
    x = 1,072,518,856.32/43,216.50
  6. Step 6: Final answer
    x = 24,817.35

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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.