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Finding the Fourth Proportional to 51,256, 70,733.82 and 28,900

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Solution

The fourth proportional to 51,256, 70,733.82 and 28,900 is: 39,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,256 : 70,733.82 = 28,900 : x
  2. Step 2: Convert to fraction form
    51,256/70,733.82 = 28,900/x
  3. Step 3: Cross multiply
    51,256x = 70,733.82 × 28,900
  4. Step 4: Simplify right side
    51,256x = 2,044,207,398.00
  5. Step 5: Solve for x
    x = 2,044,207,398.00/51,256
  6. Step 6: Final answer
    x = 39,882.30

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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.