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Finding the Fourth Proportional to 68,259, 102,388.50 and 19,011

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Solution

The fourth proportional to 68,259, 102,388.50 and 19,011 is: 28,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,259 : 102,388.50 = 19,011 : x
  2. Step 2: Convert to fraction form
    68,259/102,388.50 = 19,011/x
  3. Step 3: Cross multiply
    68,259x = 102,388.50 × 19,011
  4. Step 4: Simplify right side
    68,259x = 1,946,507,773.50
  5. Step 5: Solve for x
    x = 1,946,507,773.50/68,259
  6. Step 6: Final answer
    x = 28,516.50

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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.