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Finding the Fourth Proportional to 92,894.48, 128,193 and 52,058

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Solution

The fourth proportional to 92,894.48, 128,193 and 52,058 is: 71,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,894.48 : 128,193 = 52,058 : x
  2. Step 2: Convert to fraction form
    92,894.48/128,193 = 52,058/x
  3. Step 3: Cross multiply
    92,894.48x = 128,193 × 52,058
  4. Step 4: Simplify right side
    92,894.48x = 6,673,471,194
  5. Step 5: Solve for x
    x = 6,673,471,194/92,894.48
  6. Step 6: Final answer
    x = 71,839.27

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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.