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Finding the Fourth Proportional to 37,271.64, 51,434.10 and 20,276.22

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Solution

The fourth proportional to 37,271.64, 51,434.10 and 20,276.22 is: 27,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,271.64 : 51,434.10 = 20,276.22 : x
  2. Step 2: Convert to fraction form
    37,271.64/51,434.10 = 20,276.22/x
  3. Step 3: Cross multiply
    37,271.64x = 51,434.10 × 20,276.22
  4. Step 4: Simplify right side
    37,271.64x = 1,042,889,127.10
  5. Step 5: Solve for x
    x = 1,042,889,127.10/37,271.64
  6. Step 6: Final answer
    x = 27,980.77

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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.