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Finding the Fourth Proportional to 51,238, 70,708.44 and 28,882

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Solution

The fourth proportional to 51,238, 70,708.44 and 28,882 is: 39,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238 : 70,708.44 = 28,882 : x
  2. Step 2: Convert to fraction form
    51,238/70,708.44 = 28,882/x
  3. Step 3: Cross multiply
    51,238x = 70,708.44 × 28,882
  4. Step 4: Simplify right side
    51,238x = 2,042,201,164.08
  5. Step 5: Solve for x
    x = 2,042,201,164.08/51,238
  6. Step 6: Final answer
    x = 39,857.16

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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.