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Finding the Fourth Proportional to 51,451.84, 71,001.60 and 29,096.32

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Solution

The fourth proportional to 51,451.84, 71,001.60 and 29,096.32 is: 40,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,451.84 : 71,001.60 = 29,096.32 : x
  2. Step 2: Convert to fraction form
    51,451.84/71,001.60 = 29,096.32/x
  3. Step 3: Cross multiply
    51,451.84x = 71,001.60 × 29,096.32
  4. Step 4: Simplify right side
    51,451.84x = 2,065,885,274.11
  5. Step 5: Solve for x
    x = 2,065,885,274.11/51,451.84
  6. Step 6: Final answer
    x = 40,151.82

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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.