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Finding the Fourth Proportional to 75,903.30, 113,923.80 and 38,489.40

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Solution

The fourth proportional to 75,903.30, 113,923.80 and 38,489.40 is: 57,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,903.30 : 113,923.80 = 38,489.40 : x
  2. Step 2: Convert to fraction form
    75,903.30/113,923.80 = 38,489.40/x
  3. Step 3: Cross multiply
    75,903.30x = 113,923.80 × 38,489.40
  4. Step 4: Simplify right side
    75,903.30x = 4,384,858,707.72
  5. Step 5: Solve for x
    x = 4,384,858,707.72/75,903.30
  6. Step 6: Final answer
    x = 57,769.01

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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.