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Finding the Fourth Proportional to 46,416.24, 69,682.22 and 46,203

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Solution

The fourth proportional to 46,416.24, 69,682.22 and 46,203 is: 69,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416.24 : 69,682.22 = 46,203 : x
  2. Step 2: Convert to fraction form
    46,416.24/69,682.22 = 46,203/x
  3. Step 3: Cross multiply
    46,416.24x = 69,682.22 × 46,203
  4. Step 4: Simplify right side
    46,416.24x = 3,219,527,610.66
  5. Step 5: Solve for x
    x = 3,219,527,610.66/46,416.24
  6. Step 6: Final answer
    x = 69,362.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.