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Finding the Fourth Proportional to 102,039.01, 153,069.68 and 34,619.72

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Solution

The fourth proportional to 102,039.01, 153,069.68 and 34,619.72 is: 51,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.01 : 153,069.68 = 34,619.72 : x
  2. Step 2: Convert to fraction form
    102,039.01/153,069.68 = 34,619.72/x
  3. Step 3: Cross multiply
    102,039.01x = 153,069.68 × 34,619.72
  4. Step 4: Simplify right side
    102,039.01x = 5,299,229,462.09
  5. Step 5: Solve for x
    x = 5,299,229,462.09/102,039.01
  6. Step 6: Final answer
    x = 51,933.37

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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.