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Finding the Fourth Proportional to 35,478.96, 48,960.24 and 19,563.84

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Solution

The fourth proportional to 35,478.96, 48,960.24 and 19,563.84 is: 26,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.96 : 48,960.24 = 19,563.84 : x
  2. Step 2: Convert to fraction form
    35,478.96/48,960.24 = 19,563.84/x
  3. Step 3: Cross multiply
    35,478.96x = 48,960.24 × 19,563.84
  4. Step 4: Simplify right side
    35,478.96x = 957,850,301.72
  5. Step 5: Solve for x
    x = 957,850,301.72/35,478.96
  6. Step 6: Final answer
    x = 26,997.70

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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.