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Finding the Fourth Proportional to 37,477.08, 51,716.34 and 20,709

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Solution

The fourth proportional to 37,477.08, 51,716.34 and 20,709 is: 28,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.08 : 51,716.34 = 20,709 : x
  2. Step 2: Convert to fraction form
    37,477.08/51,716.34 = 20,709/x
  3. Step 3: Cross multiply
    37,477.08x = 51,716.34 × 20,709
  4. Step 4: Simplify right side
    37,477.08x = 1,070,993,685.06
  5. Step 5: Solve for x
    x = 1,070,993,685.06/37,477.08
  6. Step 6: Final answer
    x = 28,577.30

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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.