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Finding the Fourth Proportional to 37,031.82, 51,103.95 and 20,264.82

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Solution

The fourth proportional to 37,031.82, 51,103.95 and 20,264.82 is: 27,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,031.82 : 51,103.95 = 20,264.82 : x
  2. Step 2: Convert to fraction form
    37,031.82/51,103.95 = 20,264.82/x
  3. Step 3: Cross multiply
    37,031.82x = 51,103.95 × 20,264.82
  4. Step 4: Simplify right side
    37,031.82x = 1,035,612,348.04
  5. Step 5: Solve for x
    x = 1,035,612,348.04/37,031.82
  6. Step 6: Final answer
    x = 27,965.47

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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.