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Finding the Fourth Proportional to 104,958.81, 157,443.68 and 30,071.84

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Solution

The fourth proportional to 104,958.81, 157,443.68 and 30,071.84 is: 45,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,958.81 : 157,443.68 = 30,071.84 : x
  2. Step 2: Convert to fraction form
    104,958.81/157,443.68 = 30,071.84/x
  3. Step 3: Cross multiply
    104,958.81x = 157,443.68 × 30,071.84
  4. Step 4: Simplify right side
    104,958.81x = 4,734,620,216.39
  5. Step 5: Solve for x
    x = 4,734,620,216.39/104,958.81
  6. Step 6: Final answer
    x = 45,109.32

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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.