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Finding the Fourth Proportional to 32,304.33, 48,478.64 and 12,582.99

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Solution

The fourth proportional to 32,304.33, 48,478.64 and 12,582.99 is: 18,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.33 : 48,478.64 = 12,582.99 : x
  2. Step 2: Convert to fraction form
    32,304.33/48,478.64 = 12,582.99/x
  3. Step 3: Cross multiply
    32,304.33x = 48,478.64 × 12,582.99
  4. Step 4: Simplify right side
    32,304.33x = 610,006,179.42
  5. Step 5: Solve for x
    x = 610,006,179.42/32,304.33
  6. Step 6: Final answer
    x = 18,883.11

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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.