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Finding the Fourth Proportional to 32,202, 48,303 and 13,734

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Solution

The fourth proportional to 32,202, 48,303 and 13,734 is: 20,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 48,303 = 13,734 : x
  2. Step 2: Convert to fraction form
    32,202/48,303 = 13,734/x
  3. Step 3: Cross multiply
    32,202x = 48,303 × 13,734
  4. Step 4: Simplify right side
    32,202x = 663,393,402
  5. Step 5: Solve for x
    x = 663,393,402/32,202
  6. Step 6: Final answer
    x = 20,601

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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.