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Finding the Fourth Proportional to 51,202, 76,803 and 12,290

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Solution

The fourth proportional to 51,202, 76,803 and 12,290 is: 18,435

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202 : 76,803 = 12,290 : x
  2. Step 2: Convert to fraction form
    51,202/76,803 = 12,290/x
  3. Step 3: Cross multiply
    51,202x = 76,803 × 12,290
  4. Step 4: Simplify right side
    51,202x = 943,908,870
  5. Step 5: Solve for x
    x = 943,908,870/51,202
  6. Step 6: Final answer
    x = 18,435

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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.