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Finding the Fourth Proportional to 35,174.75, 48,541.16 and 20,270.75

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Solution

The fourth proportional to 35,174.75, 48,541.16 and 20,270.75 is: 27,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174.75 : 48,541.16 = 20,270.75 : x
  2. Step 2: Convert to fraction form
    35,174.75/48,541.16 = 20,270.75/x
  3. Step 3: Cross multiply
    35,174.75x = 48,541.16 × 20,270.75
  4. Step 4: Simplify right side
    35,174.75x = 983,965,617.72
  5. Step 5: Solve for x
    x = 983,965,617.72/35,174.75
  6. Step 6: Final answer
    x = 27,973.64

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1.5x scale

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.