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Finding the Fourth Proportional to 30,662.37, 45,992.64 and 8,477.08

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Solution

The fourth proportional to 30,662.37, 45,992.64 and 8,477.08 is: 12,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.37 : 45,992.64 = 8,477.08 : x
  2. Step 2: Convert to fraction form
    30,662.37/45,992.64 = 8,477.08/x
  3. Step 3: Cross multiply
    30,662.37x = 45,992.64 × 8,477.08
  4. Step 4: Simplify right side
    30,662.37x = 389,883,205.50
  5. Step 5: Solve for x
    x = 389,883,205.50/30,662.37
  6. Step 6: Final answer
    x = 12,715.36

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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.