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Finding the Fourth Proportional to 32,054.82, 48,082.41 and 8,681.46

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Solution

The fourth proportional to 32,054.82, 48,082.41 and 8,681.46 is: 13,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.82 : 48,082.41 = 8,681.46 : x
  2. Step 2: Convert to fraction form
    32,054.82/48,082.41 = 8,681.46/x
  3. Step 3: Cross multiply
    32,054.82x = 48,082.41 × 8,681.46
  4. Step 4: Simplify right side
    32,054.82x = 417,425,519.12
  5. Step 5: Solve for x
    x = 417,425,519.12/32,054.82
  6. Step 6: Final answer
    x = 13,022.24

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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.