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Finding the Fourth Proportional to 75,683.38, 104,403.42 and 57,747.28

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Solution

The fourth proportional to 75,683.38, 104,403.42 and 57,747.28 is: 79,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683.38 : 104,403.42 = 57,747.28 : x
  2. Step 2: Convert to fraction form
    75,683.38/104,403.42 = 57,747.28/x
  3. Step 3: Cross multiply
    75,683.38x = 104,403.42 × 57,747.28
  4. Step 4: Simplify right side
    75,683.38x = 6,029,013,527.70
  5. Step 5: Solve for x
    x = 6,029,013,527.70/75,683.38
  6. Step 6: Final answer
    x = 79,661.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.