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Finding the Fourth Proportional to 37,820.84, 56,711.82 and 17,033

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Solution

The fourth proportional to 37,820.84, 56,711.82 and 17,033 is: 25,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.84 : 56,711.82 = 17,033 : x
  2. Step 2: Convert to fraction form
    37,820.84/56,711.82 = 17,033/x
  3. Step 3: Cross multiply
    37,820.84x = 56,711.82 × 17,033
  4. Step 4: Simplify right side
    37,820.84x = 965,972,430.06
  5. Step 5: Solve for x
    x = 965,972,430.06/37,820.84
  6. Step 6: Final answer
    x = 25,540.74

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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.