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Finding the Fourth Proportional to 49,429, 74,143.50 and 19,867.24

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Solution

The fourth proportional to 49,429, 74,143.50 and 19,867.24 is: 29,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,429 : 74,143.50 = 19,867.24 : x
  2. Step 2: Convert to fraction form
    49,429/74,143.50 = 19,867.24/x
  3. Step 3: Cross multiply
    49,429x = 74,143.50 × 19,867.24
  4. Step 4: Simplify right side
    49,429x = 1,473,026,708.94
  5. Step 5: Solve for x
    x = 1,473,026,708.94/49,429
  6. Step 6: Final answer
    x = 29,800.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.