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Finding the Fourth Proportional to 67,914, 93,728.52 and 38,106

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Solution

The fourth proportional to 67,914, 93,728.52 and 38,106 is: 52,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,914 : 93,728.52 = 38,106 : x
  2. Step 2: Convert to fraction form
    67,914/93,728.52 = 38,106/x
  3. Step 3: Cross multiply
    67,914x = 93,728.52 × 38,106
  4. Step 4: Simplify right side
    67,914x = 3,571,618,983.12
  5. Step 5: Solve for x
    x = 3,571,618,983.12/67,914
  6. Step 6: Final answer
    x = 52,590.32

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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.