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Finding the Fourth Proportional to 45,297, 62,509.86 and 25,425

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Solution

The fourth proportional to 45,297, 62,509.86 and 25,425 is: 35,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,297 : 62,509.86 = 25,425 : x
  2. Step 2: Convert to fraction form
    45,297/62,509.86 = 25,425/x
  3. Step 3: Cross multiply
    45,297x = 62,509.86 × 25,425
  4. Step 4: Simplify right side
    45,297x = 1,589,313,190.50
  5. Step 5: Solve for x
    x = 1,589,313,190.50/45,297
  6. Step 6: Final answer
    x = 35,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.