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Finding the Fourth Proportional to 56,684.64, 78,192.24 and 35,427

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Solution

The fourth proportional to 56,684.64, 78,192.24 and 35,427 is: 48,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,684.64 : 78,192.24 = 35,427 : x
  2. Step 2: Convert to fraction form
    56,684.64/78,192.24 = 35,427/x
  3. Step 3: Cross multiply
    56,684.64x = 78,192.24 × 35,427
  4. Step 4: Simplify right side
    56,684.64x = 2,770,116,486.48
  5. Step 5: Solve for x
    x = 2,770,116,486.48/56,684.64
  6. Step 6: Final answer
    x = 48,868.91

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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.