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Finding the Fourth Proportional to 37,457.64, 51,687.14 and 20,689.64

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Solution

The fourth proportional to 37,457.64, 51,687.14 and 20,689.64 is: 28,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,457.64 : 51,687.14 = 20,689.64 : x
  2. Step 2: Convert to fraction form
    37,457.64/51,687.14 = 20,689.64/x
  3. Step 3: Cross multiply
    37,457.64x = 51,687.14 × 20,689.64
  4. Step 4: Simplify right side
    37,457.64x = 1,069,388,319.23
  5. Step 5: Solve for x
    x = 1,069,388,319.23/37,457.64
  6. Step 6: Final answer
    x = 28,549.27

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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.