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Finding the Fourth Proportional to 69,706.62, 104,501.14 and 30,234

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Solution

The fourth proportional to 69,706.62, 104,501.14 and 30,234 is: 45,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706.62 : 104,501.14 = 30,234 : x
  2. Step 2: Convert to fraction form
    69,706.62/104,501.14 = 30,234/x
  3. Step 3: Cross multiply
    69,706.62x = 104,501.14 × 30,234
  4. Step 4: Simplify right side
    69,706.62x = 3,159,487,466.76
  5. Step 5: Solve for x
    x = 3,159,487,466.76/69,706.62
  6. Step 6: Final answer
    x = 45,325.50

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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.