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Finding the Fourth Proportional to 52,409.92, 78,613.94 and 12,967.02

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Solution

The fourth proportional to 52,409.92, 78,613.94 and 12,967.02 is: 19,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.92 : 78,613.94 = 12,967.02 : x
  2. Step 2: Convert to fraction form
    52,409.92/78,613.94 = 12,967.02/x
  3. Step 3: Cross multiply
    52,409.92x = 78,613.94 × 12,967.02
  4. Step 4: Simplify right side
    52,409.92x = 1,019,388,532.26
  5. Step 5: Solve for x
    x = 1,019,388,532.26/52,409.92
  6. Step 6: Final answer
    x = 19,450.30

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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.