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Finding the Fourth Proportional to 50,744, 76,094.56 and 15,210.36

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Solution

The fourth proportional to 50,744, 76,094.56 and 15,210.36 is: 22,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,744 : 76,094.56 = 15,210.36 : x
  2. Step 2: Convert to fraction form
    50,744/76,094.56 = 15,210.36/x
  3. Step 3: Cross multiply
    50,744x = 76,094.56 × 15,210.36
  4. Step 4: Simplify right side
    50,744x = 1,157,425,651.64
  5. Step 5: Solve for x
    x = 1,157,425,651.64/50,744
  6. Step 6: Final answer
    x = 22,809.11

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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.