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Finding the Fourth Proportional to 103,195.08, 154,741.32 and 33,065.28

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Solution

The fourth proportional to 103,195.08, 154,741.32 and 33,065.28 is: 49,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,195.08 : 154,741.32 = 33,065.28 : x
  2. Step 2: Convert to fraction form
    103,195.08/154,741.32 = 33,065.28/x
  3. Step 3: Cross multiply
    103,195.08x = 154,741.32 × 33,065.28
  4. Step 4: Simplify right side
    103,195.08x = 5,116,565,073.37
  5. Step 5: Solve for x
    x = 5,116,565,073.37/103,195.08
  6. Step 6: Final answer
    x = 49,581.48

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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.