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Finding the Fourth Proportional to 32,458.64, 48,658.68 and 11,677.20

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Solution

The fourth proportional to 32,458.64, 48,658.68 and 11,677.20 is: 17,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.64 : 48,658.68 = 11,677.20 : x
  2. Step 2: Convert to fraction form
    32,458.64/48,658.68 = 11,677.20/x
  3. Step 3: Cross multiply
    32,458.64x = 48,658.68 × 11,677.20
  4. Step 4: Simplify right side
    32,458.64x = 568,197,138.10
  5. Step 5: Solve for x
    x = 568,197,138.10/32,458.64
  6. Step 6: Final answer
    x = 17,505.27

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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.