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Finding the Fourth Proportional to 51,541, 71,126.58 and 29,189.32

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Solution

The fourth proportional to 51,541, 71,126.58 and 29,189.32 is: 40,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,541 : 71,126.58 = 29,189.32 : x
  2. Step 2: Convert to fraction form
    51,541/71,126.58 = 29,189.32/x
  3. Step 3: Cross multiply
    51,541x = 71,126.58 × 29,189.32
  4. Step 4: Simplify right side
    51,541x = 2,076,136,504.13
  5. Step 5: Solve for x
    x = 2,076,136,504.13/51,541
  6. Step 6: Final answer
    x = 40,281.26

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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.