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Finding the Fourth Proportional to 34,182, 51,297.30 and 13,405.50

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Solution

The fourth proportional to 34,182, 51,297.30 and 13,405.50 is: 20,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,182 : 51,297.30 = 13,405.50 : x
  2. Step 2: Convert to fraction form
    34,182/51,297.30 = 13,405.50/x
  3. Step 3: Cross multiply
    34,182x = 51,297.30 × 13,405.50
  4. Step 4: Simplify right side
    34,182x = 687,665,955.15
  5. Step 5: Solve for x
    x = 687,665,955.15/34,182
  6. Step 6: Final answer
    x = 20,117.78

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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.