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Finding the Fourth Proportional to 48,970.36, 67,578.46 and 28,828.09

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Solution

The fourth proportional to 48,970.36, 67,578.46 and 28,828.09 is: 39,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.36 : 67,578.46 = 28,828.09 : x
  2. Step 2: Convert to fraction form
    48,970.36/67,578.46 = 28,828.09/x
  3. Step 3: Cross multiply
    48,970.36x = 67,578.46 × 28,828.09
  4. Step 4: Simplify right side
    48,970.36x = 1,948,157,926.94
  5. Step 5: Solve for x
    x = 1,948,157,926.94/48,970.36
  6. Step 6: Final answer
    x = 39,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.