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Finding the Fourth Proportional to 35,534.57, 48,992.51 and 25,164

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Solution

The fourth proportional to 35,534.57, 48,992.51 and 25,164 is: 34,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.57 : 48,992.51 = 25,164 : x
  2. Step 2: Convert to fraction form
    35,534.57/48,992.51 = 25,164/x
  3. Step 3: Cross multiply
    35,534.57x = 48,992.51 × 25,164
  4. Step 4: Simplify right side
    35,534.57x = 1,232,847,584.55
  5. Step 5: Solve for x
    x = 1,232,847,584.55/35,534.57
  6. Step 6: Final answer
    x = 34,694.32

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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.