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Finding the Fourth Proportional to 32,759.94, 49,139.93 and 14,027.88

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Solution

The fourth proportional to 32,759.94, 49,139.93 and 14,027.88 is: 21,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.94 : 49,139.93 = 14,027.88 : x
  2. Step 2: Convert to fraction form
    32,759.94/49,139.93 = 14,027.88/x
  3. Step 3: Cross multiply
    32,759.94x = 49,139.93 × 14,027.88
  4. Step 4: Simplify right side
    32,759.94x = 689,329,260.59
  5. Step 5: Solve for x
    x = 689,329,260.59/32,759.94
  6. Step 6: Final answer
    x = 21,041.83

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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.