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Finding the Fourth Proportional to 48,700.96, 73,051.44 and 11,764.96

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Solution

The fourth proportional to 48,700.96, 73,051.44 and 11,764.96 is: 17,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,700.96 : 73,051.44 = 11,764.96 : x
  2. Step 2: Convert to fraction form
    48,700.96/73,051.44 = 11,764.96/x
  3. Step 3: Cross multiply
    48,700.96x = 73,051.44 × 11,764.96
  4. Step 4: Simplify right side
    48,700.96x = 859,447,269.54
  5. Step 5: Solve for x
    x = 859,447,269.54/48,700.96
  6. Step 6: Final answer
    x = 17,647.44

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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.