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Finding the Fourth Proportional to 52,374.22, 78,498.92 and 36,493.28

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Solution

The fourth proportional to 52,374.22, 78,498.92 and 36,493.28 is: 54,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,374.22 : 78,498.92 = 36,493.28 : x
  2. Step 2: Convert to fraction form
    52,374.22/78,498.92 = 36,493.28/x
  3. Step 3: Cross multiply
    52,374.22x = 78,498.92 × 36,493.28
  4. Step 4: Simplify right side
    52,374.22x = 2,864,683,067.26
  5. Step 5: Solve for x
    x = 2,864,683,067.26/52,374.22
  6. Step 6: Final answer
    x = 54,696.43

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Why These Related Problems?

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