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Finding the Fourth Proportional to 61,208.32, 91,795.68 and 16,824.64

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Solution

The fourth proportional to 61,208.32, 91,795.68 and 16,824.64 is: 25,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,208.32 : 91,795.68 = 16,824.64 : x
  2. Step 2: Convert to fraction form
    61,208.32/91,795.68 = 16,824.64/x
  3. Step 3: Cross multiply
    61,208.32x = 91,795.68 × 16,824.64
  4. Step 4: Simplify right side
    61,208.32x = 1,544,429,269.56
  5. Step 5: Solve for x
    x = 1,544,429,269.56/61,208.32
  6. Step 6: Final answer
    x = 25,232.34

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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.