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Finding the Fourth Proportional to 32,431.88, 48,646.04 and 9,942.52

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Solution

The fourth proportional to 32,431.88, 48,646.04 and 9,942.52 is: 14,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.88 : 48,646.04 = 9,942.52 : x
  2. Step 2: Convert to fraction form
    32,431.88/48,646.04 = 9,942.52/x
  3. Step 3: Cross multiply
    32,431.88x = 48,646.04 × 9,942.52
  4. Step 4: Simplify right side
    32,431.88x = 483,664,225.62
  5. Step 5: Solve for x
    x = 483,664,225.62/32,431.88
  6. Step 6: Final answer
    x = 14,913.23

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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.