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Finding the Fourth Proportional to 37,417.36, 51,635.64 and 20,650

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Solution

The fourth proportional to 37,417.36, 51,635.64 and 20,650 is: 28,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,417.36 : 51,635.64 = 20,650 : x
  2. Step 2: Convert to fraction form
    37,417.36/51,635.64 = 20,650/x
  3. Step 3: Cross multiply
    37,417.36x = 51,635.64 × 20,650
  4. Step 4: Simplify right side
    37,417.36x = 1,066,275,966
  5. Step 5: Solve for x
    x = 1,066,275,966/37,417.36
  6. Step 6: Final answer
    x = 28,496.83

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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.