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Finding the Fourth Proportional to 101,029.56, 151,559.93 and 34,454.12

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Solution

The fourth proportional to 101,029.56, 151,559.93 and 34,454.12 is: 51,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,029.56 : 151,559.93 = 34,454.12 : x
  2. Step 2: Convert to fraction form
    101,029.56/151,559.93 = 34,454.12/x
  3. Step 3: Cross multiply
    101,029.56x = 151,559.93 × 34,454.12
  4. Step 4: Simplify right side
    101,029.56x = 5,221,864,015.41
  5. Step 5: Solve for x
    x = 5,221,864,015.41/101,029.56
  6. Step 6: Final answer
    x = 51,686.50

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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.