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Finding the Fourth Proportional to 32,362, 44,658.48 and 18,214

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Solution

The fourth proportional to 32,362, 44,658.48 and 18,214 is: 25,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362 : 44,658.48 = 18,214 : x
  2. Step 2: Convert to fraction form
    32,362/44,658.48 = 18,214/x
  3. Step 3: Cross multiply
    32,362x = 44,658.48 × 18,214
  4. Step 4: Simplify right side
    32,362x = 813,409,554.72
  5. Step 5: Solve for x
    x = 813,409,554.72/32,362
  6. Step 6: Final answer
    x = 25,134.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.