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Finding the Fourth Proportional to 129,797.44, 194,657.28 and 46,672

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Solution

The fourth proportional to 129,797.44, 194,657.28 and 46,672 is: 69,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797.44 : 194,657.28 = 46,672 : x
  2. Step 2: Convert to fraction form
    129,797.44/194,657.28 = 46,672/x
  3. Step 3: Cross multiply
    129,797.44x = 194,657.28 × 46,672
  4. Step 4: Simplify right side
    129,797.44x = 9,085,044,572.16
  5. Step 5: Solve for x
    x = 9,085,044,572.16/129,797.44
  6. Step 6: Final answer
    x = 69,994.02

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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.