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Finding the Fourth Proportional to 37,602.24, 51,959.52 and 35,780.28

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Solution

The fourth proportional to 37,602.24, 51,959.52 and 35,780.28 is: 49,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,602.24 : 51,959.52 = 35,780.28 : x
  2. Step 2: Convert to fraction form
    37,602.24/51,959.52 = 35,780.28/x
  3. Step 3: Cross multiply
    37,602.24x = 51,959.52 × 35,780.28
  4. Step 4: Simplify right side
    37,602.24x = 1,859,126,174.27
  5. Step 5: Solve for x
    x = 1,859,126,174.27/37,602.24
  6. Step 6: Final answer
    x = 49,441.90

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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.