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Finding the Fourth Proportional to 37,677.40, 56,476 and 17,914.21

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Solution

The fourth proportional to 37,677.40, 56,476 and 17,914.21 is: 26,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677.40 : 56,476 = 17,914.21 : x
  2. Step 2: Convert to fraction form
    37,677.40/56,476 = 17,914.21/x
  3. Step 3: Cross multiply
    37,677.40x = 56,476 × 17,914.21
  4. Step 4: Simplify right side
    37,677.40x = 1,011,722,923.96
  5. Step 5: Solve for x
    x = 1,011,722,923.96/37,677.40
  6. Step 6: Final answer
    x = 26,852.25

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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.