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Finding the Fourth Proportional to 103,097.88, 154,671.39 and 36,543.83

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Solution

The fourth proportional to 103,097.88, 154,671.39 and 36,543.83 is: 54,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097.88 : 154,671.39 = 36,543.83 : x
  2. Step 2: Convert to fraction form
    103,097.88/154,671.39 = 36,543.83/x
  3. Step 3: Cross multiply
    103,097.88x = 154,671.39 × 36,543.83
  4. Step 4: Simplify right side
    103,097.88x = 5,652,284,208.67
  5. Step 5: Solve for x
    x = 5,652,284,208.67/103,097.88
  6. Step 6: Final answer
    x = 54,824.45

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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.