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Finding the Fourth Proportional to 76,027.98, 104,914.38 and 42,034.50

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Solution

The fourth proportional to 76,027.98, 104,914.38 and 42,034.50 is: 58,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,027.98 : 104,914.38 = 42,034.50 : x
  2. Step 2: Convert to fraction form
    76,027.98/104,914.38 = 42,034.50/x
  3. Step 3: Cross multiply
    76,027.98x = 104,914.38 × 42,034.50
  4. Step 4: Simplify right side
    76,027.98x = 4,410,023,506.11
  5. Step 5: Solve for x
    x = 4,410,023,506.11/76,027.98
  6. Step 6: Final answer
    x = 58,005.27

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1.5x scale

Why These Related Problems?

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