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Finding the Fourth Proportional to 32,977.28, 49,465.92 and 9,605.54

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Solution

The fourth proportional to 32,977.28, 49,465.92 and 9,605.54 is: 14,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.28 : 49,465.92 = 9,605.54 : x
  2. Step 2: Convert to fraction form
    32,977.28/49,465.92 = 9,605.54/x
  3. Step 3: Cross multiply
    32,977.28x = 49,465.92 × 9,605.54
  4. Step 4: Simplify right side
    32,977.28x = 475,146,873.20
  5. Step 5: Solve for x
    x = 475,146,873.20/32,977.28
  6. Step 6: Final answer
    x = 14,408.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.