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Finding the Fourth Proportional to 77,980.82, 117,051.98 and 48,016.62

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Solution

The fourth proportional to 77,980.82, 117,051.98 and 48,016.62 is: 72,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.82 : 117,051.98 = 48,016.62 : x
  2. Step 2: Convert to fraction form
    77,980.82/117,051.98 = 48,016.62/x
  3. Step 3: Cross multiply
    77,980.82x = 117,051.98 × 48,016.62
  4. Step 4: Simplify right side
    77,980.82x = 5,620,440,203.82
  5. Step 5: Solve for x
    x = 5,620,440,203.82/77,980.82
  6. Step 6: Final answer
    x = 72,074.65

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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.