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Finding the Fourth Proportional to 37,677.66, 56,476.38 and 17,914.44

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Solution

The fourth proportional to 37,677.66, 56,476.38 and 17,914.44 is: 26,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677.66 : 56,476.38 = 17,914.44 : x
  2. Step 2: Convert to fraction form
    37,677.66/56,476.38 = 17,914.44/x
  3. Step 3: Cross multiply
    37,677.66x = 56,476.38 × 17,914.44
  4. Step 4: Simplify right side
    37,677.66x = 1,011,742,720.93
  5. Step 5: Solve for x
    x = 1,011,742,720.93/37,677.66
  6. Step 6: Final answer
    x = 26,852.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.