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Finding the Fourth Proportional to 100,994.21, 151,495.14 and 37,807.70

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Solution

The fourth proportional to 100,994.21, 151,495.14 and 37,807.70 is: 56,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,994.21 : 151,495.14 = 37,807.70 : x
  2. Step 2: Convert to fraction form
    100,994.21/151,495.14 = 37,807.70/x
  3. Step 3: Cross multiply
    100,994.21x = 151,495.14 × 37,807.70
  4. Step 4: Simplify right side
    100,994.21x = 5,727,682,188.88
  5. Step 5: Solve for x
    x = 5,727,682,188.88/100,994.21
  6. Step 6: Final answer
    x = 56,712.98

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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.