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Finding the Fourth Proportional to 101,071.51, 151,642.25 and 34,558.47

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Solution

The fourth proportional to 101,071.51, 151,642.25 and 34,558.47 is: 51,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,071.51 : 151,642.25 = 34,558.47 : x
  2. Step 2: Convert to fraction form
    101,071.51/151,642.25 = 34,558.47/x
  3. Step 3: Cross multiply
    101,071.51x = 151,642.25 × 34,558.47
  4. Step 4: Simplify right side
    101,071.51x = 5,240,524,147.36
  5. Step 5: Solve for x
    x = 5,240,524,147.36/101,071.51
  6. Step 6: Final answer
    x = 51,849.67

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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.