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Finding the Fourth Proportional to 76,511.14, 114,789.03 and 32,114.50

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Solution

The fourth proportional to 76,511.14, 114,789.03 and 32,114.50 is: 48,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.14 : 114,789.03 = 32,114.50 : x
  2. Step 2: Convert to fraction form
    76,511.14/114,789.03 = 32,114.50/x
  3. Step 3: Cross multiply
    76,511.14x = 114,789.03 × 32,114.50
  4. Step 4: Simplify right side
    76,511.14x = 3,686,392,303.94
  5. Step 5: Solve for x
    x = 3,686,392,303.94/76,511.14
  6. Step 6: Final answer
    x = 48,181.12

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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.