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Finding the Fourth Proportional to 139,051.44, 208,575 and 33,870.24

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Solution

The fourth proportional to 139,051.44, 208,575 and 33,870.24 is: 50,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,051.44 : 208,575 = 33,870.24 : x
  2. Step 2: Convert to fraction form
    139,051.44/208,575 = 33,870.24/x
  3. Step 3: Cross multiply
    139,051.44x = 208,575 × 33,870.24
  4. Step 4: Simplify right side
    139,051.44x = 7,064,485,308
  5. Step 5: Solve for x
    x = 7,064,485,308/139,051.44
  6. Step 6: Final answer
    x = 50,804.83

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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.