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Finding the Fourth Proportional to 32,152, 48,228 and 14,626.84

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Solution

The fourth proportional to 32,152, 48,228 and 14,626.84 is: 21,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152 : 48,228 = 14,626.84 : x
  2. Step 2: Convert to fraction form
    32,152/48,228 = 14,626.84/x
  3. Step 3: Cross multiply
    32,152x = 48,228 × 14,626.84
  4. Step 4: Simplify right side
    32,152x = 705,423,239.52
  5. Step 5: Solve for x
    x = 705,423,239.52/32,152
  6. Step 6: Final answer
    x = 21,940.26

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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.