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Finding the Fourth Proportional to 51,602.70, 77,418.45 and 25,308.30

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Solution

The fourth proportional to 51,602.70, 77,418.45 and 25,308.30 is: 37,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602.70 : 77,418.45 = 25,308.30 : x
  2. Step 2: Convert to fraction form
    51,602.70/77,418.45 = 25,308.30/x
  3. Step 3: Cross multiply
    51,602.70x = 77,418.45 × 25,308.30
  4. Step 4: Simplify right side
    51,602.70x = 1,959,329,358.14
  5. Step 5: Solve for x
    x = 1,959,329,358.14/51,602.70
  6. Step 6: Final answer
    x = 37,969.51

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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.