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Finding the Fourth Proportional to 32,431.16, 48,559.02 and 16,815.96

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Solution

The fourth proportional to 32,431.16, 48,559.02 and 16,815.96 is: 25,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.16 : 48,559.02 = 16,815.96 : x
  2. Step 2: Convert to fraction form
    32,431.16/48,559.02 = 16,815.96/x
  3. Step 3: Cross multiply
    32,431.16x = 48,559.02 × 16,815.96
  4. Step 4: Simplify right side
    32,431.16x = 816,566,537.96
  5. Step 5: Solve for x
    x = 816,566,537.96/32,431.16
  6. Step 6: Final answer
    x = 25,178.46

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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.