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Finding the Fourth Proportional to 52,306, 78,459 and 13,394

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Solution

The fourth proportional to 52,306, 78,459 and 13,394 is: 20,091

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306 : 78,459 = 13,394 : x
  2. Step 2: Convert to fraction form
    52,306/78,459 = 13,394/x
  3. Step 3: Cross multiply
    52,306x = 78,459 × 13,394
  4. Step 4: Simplify right side
    52,306x = 1,050,879,846
  5. Step 5: Solve for x
    x = 1,050,879,846/52,306
  6. Step 6: Final answer
    x = 20,091

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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.