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Finding the Fourth Proportional to 35,035.75, 48,349.34 and 22,460.50

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Solution

The fourth proportional to 35,035.75, 48,349.34 and 22,460.50 is: 30,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,035.75 : 48,349.34 = 22,460.50 : x
  2. Step 2: Convert to fraction form
    35,035.75/48,349.34 = 22,460.50/x
  3. Step 3: Cross multiply
    35,035.75x = 48,349.34 × 22,460.50
  4. Step 4: Simplify right side
    35,035.75x = 1,085,950,351.07
  5. Step 5: Solve for x
    x = 1,085,950,351.07/35,035.75
  6. Step 6: Final answer
    x = 30,995.49

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