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Finding the Fourth Proportional to 34,678, 52,008.30 and 9,711.58

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Solution

The fourth proportional to 34,678, 52,008.30 and 9,711.58 is: 14,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678 : 52,008.30 = 9,711.58 : x
  2. Step 2: Convert to fraction form
    34,678/52,008.30 = 9,711.58/x
  3. Step 3: Cross multiply
    34,678x = 52,008.30 × 9,711.58
  4. Step 4: Simplify right side
    34,678x = 505,082,766.11
  5. Step 5: Solve for x
    x = 505,082,766.11/34,678
  6. Step 6: Final answer
    x = 14,564.93

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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.