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Finding the Fourth Proportional to 32,294.29, 48,441.46 and 17,596.64

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Solution

The fourth proportional to 32,294.29, 48,441.46 and 17,596.64 is: 26,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.29 : 48,441.46 = 17,596.64 : x
  2. Step 2: Convert to fraction form
    32,294.29/48,441.46 = 17,596.64/x
  3. Step 3: Cross multiply
    32,294.29x = 48,441.46 × 17,596.64
  4. Step 4: Simplify right side
    32,294.29x = 852,406,646.50
  5. Step 5: Solve for x
    x = 852,406,646.50/32,294.29
  6. Step 6: Final answer
    x = 26,394.97

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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.