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Finding the Fourth Proportional to 48,241.74, 72,362.62 and 14,961

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Solution

The fourth proportional to 48,241.74, 72,362.62 and 14,961 is: 22,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,241.74 : 72,362.62 = 14,961 : x
  2. Step 2: Convert to fraction form
    48,241.74/72,362.62 = 14,961/x
  3. Step 3: Cross multiply
    48,241.74x = 72,362.62 × 14,961
  4. Step 4: Simplify right side
    48,241.74x = 1,082,617,157.82
  5. Step 5: Solve for x
    x = 1,082,617,157.82/48,241.74
  6. Step 6: Final answer
    x = 22,441.50

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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.