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Finding the Fourth Proportional to 37,205.64, 51,244.02 and 34,402.92

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Solution

The fourth proportional to 37,205.64, 51,244.02 and 34,402.92 is: 47,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.64 : 51,244.02 = 34,402.92 : x
  2. Step 2: Convert to fraction form
    37,205.64/51,244.02 = 34,402.92/x
  3. Step 3: Cross multiply
    37,205.64x = 51,244.02 × 34,402.92
  4. Step 4: Simplify right side
    37,205.64x = 1,762,943,920.54
  5. Step 5: Solve for x
    x = 1,762,943,920.54/37,205.64
  6. Step 6: Final answer
    x = 47,383.78

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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.