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Finding the Fourth Proportional to 37,541.04, 51,807 and 20,774

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Solution

The fourth proportional to 37,541.04, 51,807 and 20,774 is: 28,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,541.04 : 51,807 = 20,774 : x
  2. Step 2: Convert to fraction form
    37,541.04/51,807 = 20,774/x
  3. Step 3: Cross multiply
    37,541.04x = 51,807 × 20,774
  4. Step 4: Simplify right side
    37,541.04x = 1,076,238,618
  5. Step 5: Solve for x
    x = 1,076,238,618/37,541.04
  6. Step 6: Final answer
    x = 28,668.32

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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.