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Finding the Fourth Proportional to 37,419.76, 51,641.40 and 22,308.40

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Solution

The fourth proportional to 37,419.76, 51,641.40 and 22,308.40 is: 30,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419.76 : 51,641.40 = 22,308.40 : x
  2. Step 2: Convert to fraction form
    37,419.76/51,641.40 = 22,308.40/x
  3. Step 3: Cross multiply
    37,419.76x = 51,641.40 × 22,308.40
  4. Step 4: Simplify right side
    37,419.76x = 1,152,037,007.76
  5. Step 5: Solve for x
    x = 1,152,037,007.76/37,419.76
  6. Step 6: Final answer
    x = 30,786.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.