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Finding the Fourth Proportional to 32,658.92, 48,957.42 and 12,949.64

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Solution

The fourth proportional to 32,658.92, 48,957.42 and 12,949.64 is: 19,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.92 : 48,957.42 = 12,949.64 : x
  2. Step 2: Convert to fraction form
    32,658.92/48,957.42 = 12,949.64/x
  3. Step 3: Cross multiply
    32,658.92x = 48,957.42 × 12,949.64
  4. Step 4: Simplify right side
    32,658.92x = 633,980,964.33
  5. Step 5: Solve for x
    x = 633,980,964.33/32,658.92
  6. Step 6: Final answer
    x = 19,412.18

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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.