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Finding the Fourth Proportional to 74,792.16, 103,219.92 and 52,164

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Solution

The fourth proportional to 74,792.16, 103,219.92 and 52,164 is: 71,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,792.16 : 103,219.92 = 52,164 : x
  2. Step 2: Convert to fraction form
    74,792.16/103,219.92 = 52,164/x
  3. Step 3: Cross multiply
    74,792.16x = 103,219.92 × 52,164
  4. Step 4: Simplify right side
    74,792.16x = 5,384,363,906.88
  5. Step 5: Solve for x
    x = 5,384,363,906.88/74,792.16
  6. Step 6: Final answer
    x = 71,991.02

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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.