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Finding the Fourth Proportional to 32,682.82, 45,102 and 18,535.77

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Solution

The fourth proportional to 32,682.82, 45,102 and 18,535.77 is: 25,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.82 : 45,102 = 18,535.77 : x
  2. Step 2: Convert to fraction form
    32,682.82/45,102 = 18,535.77/x
  3. Step 3: Cross multiply
    32,682.82x = 45,102 × 18,535.77
  4. Step 4: Simplify right side
    32,682.82x = 836,000,073.03
  5. Step 5: Solve for x
    x = 836,000,073.03/32,682.82
  6. Step 6: Final answer
    x = 25,579.19

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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.