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Finding the Fourth Proportional to 32,684.16, 49,026 and 9,310.56

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Solution

The fourth proportional to 32,684.16, 49,026 and 9,310.56 is: 13,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.16 : 49,026 = 9,310.56 : x
  2. Step 2: Convert to fraction form
    32,684.16/49,026 = 9,310.56/x
  3. Step 3: Cross multiply
    32,684.16x = 49,026 × 9,310.56
  4. Step 4: Simplify right side
    32,684.16x = 456,459,514.56
  5. Step 5: Solve for x
    x = 456,459,514.56/32,684.16
  6. Step 6: Final answer
    x = 13,965.77

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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.