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Finding the Fourth Proportional to 67,830, 93,608.28 and 38,022

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Solution

The fourth proportional to 67,830, 93,608.28 and 38,022 is: 52,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830 : 93,608.28 = 38,022 : x
  2. Step 2: Convert to fraction form
    67,830/93,608.28 = 38,022/x
  3. Step 3: Cross multiply
    67,830x = 93,608.28 × 38,022
  4. Step 4: Simplify right side
    67,830x = 3,559,174,022.16
  5. Step 5: Solve for x
    x = 3,559,174,022.16/67,830
  6. Step 6: Final answer
    x = 52,471.97

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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.