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Finding the Fourth Proportional to 37,457.65, 51,689.27 and 20,458.45

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Solution

The fourth proportional to 37,457.65, 51,689.27 and 20,458.45 is: 28,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,457.65 : 51,689.27 = 20,458.45 : x
  2. Step 2: Convert to fraction form
    37,457.65/51,689.27 = 20,458.45/x
  3. Step 3: Cross multiply
    37,457.65x = 51,689.27 × 20,458.45
  4. Step 4: Simplify right side
    37,457.65x = 1,057,481,985.09
  5. Step 5: Solve for x
    x = 1,057,481,985.09/37,457.65
  6. Step 6: Final answer
    x = 28,231.41

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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.