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Finding the Fourth Proportional to 100,706.08, 151,059.68 and 30,586.08

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Solution

The fourth proportional to 100,706.08, 151,059.68 and 30,586.08 is: 45,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.08 : 151,059.68 = 30,586.08 : x
  2. Step 2: Convert to fraction form
    100,706.08/151,059.68 = 30,586.08/x
  3. Step 3: Cross multiply
    100,706.08x = 151,059.68 × 30,586.08
  4. Step 4: Simplify right side
    100,706.08x = 4,620,323,457.25
  5. Step 5: Solve for x
    x = 4,620,323,457.25/100,706.08
  6. Step 6: Final answer
    x = 45,879.29

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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.