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Finding the Fourth Proportional to 57,193.36, 78,929 and 32,042

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Solution

The fourth proportional to 57,193.36, 78,929 and 32,042 is: 44,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.36 : 78,929 = 32,042 : x
  2. Step 2: Convert to fraction form
    57,193.36/78,929 = 32,042/x
  3. Step 3: Cross multiply
    57,193.36x = 78,929 × 32,042
  4. Step 4: Simplify right side
    57,193.36x = 2,529,043,018
  5. Step 5: Solve for x
    x = 2,529,043,018/57,193.36
  6. Step 6: Final answer
    x = 44,219.17

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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.