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Finding the Fourth Proportional to 67,145.60, 92,653.66 and 38,846

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Solution

The fourth proportional to 67,145.60, 92,653.66 and 38,846 is: 53,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,145.60 : 92,653.66 = 38,846 : x
  2. Step 2: Convert to fraction form
    67,145.60/92,653.66 = 38,846/x
  3. Step 3: Cross multiply
    67,145.60x = 92,653.66 × 38,846
  4. Step 4: Simplify right side
    67,145.60x = 3,599,224,076.36
  5. Step 5: Solve for x
    x = 3,599,224,076.36/67,145.60
  6. Step 6: Final answer
    x = 53,603.28

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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.