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Finding the Fourth Proportional to 50,698, 76,057.20 and 15,636.16

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Solution

The fourth proportional to 50,698, 76,057.20 and 15,636.16 is: 23,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698 : 76,057.20 = 15,636.16 : x
  2. Step 2: Convert to fraction form
    50,698/76,057.20 = 15,636.16/x
  3. Step 3: Cross multiply
    50,698x = 76,057.20 × 15,636.16
  4. Step 4: Simplify right side
    50,698x = 1,189,242,548.35
  5. Step 5: Solve for x
    x = 1,189,242,548.35/50,698
  6. Step 6: Final answer
    x = 23,457.39

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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.