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Finding the Fourth Proportional to 104,568, 156,782.65 and 38,000.22

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Solution

The fourth proportional to 104,568, 156,782.65 and 38,000.22 is: 56,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,568 : 156,782.65 = 38,000.22 : x
  2. Step 2: Convert to fraction form
    104,568/156,782.65 = 38,000.22/x
  3. Step 3: Cross multiply
    104,568x = 156,782.65 × 38,000.22
  4. Step 4: Simplify right side
    104,568x = 5,957,775,192.18
  5. Step 5: Solve for x
    x = 5,957,775,192.18/104,568
  6. Step 6: Final answer
    x = 56,975.13

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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.