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Finding the Fourth Proportional to 51,698.35, 71,343.28 and 29,037.69

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Solution

The fourth proportional to 51,698.35, 71,343.28 and 29,037.69 is: 40,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,698.35 : 71,343.28 = 29,037.69 : x
  2. Step 2: Convert to fraction form
    51,698.35/71,343.28 = 29,037.69/x
  3. Step 3: Cross multiply
    51,698.35x = 71,343.28 × 29,037.69
  4. Step 4: Simplify right side
    51,698.35x = 2,071,644,084.52
  5. Step 5: Solve for x
    x = 2,071,644,084.52/51,698.35
  6. Step 6: Final answer
    x = 40,071.76

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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.