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Finding the Fourth Proportional to 32,596.16, 48,891.80 and 10,411.88

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Solution

The fourth proportional to 32,596.16, 48,891.80 and 10,411.88 is: 15,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.16 : 48,891.80 = 10,411.88 : x
  2. Step 2: Convert to fraction form
    32,596.16/48,891.80 = 10,411.88/x
  3. Step 3: Cross multiply
    32,596.16x = 48,891.80 × 10,411.88
  4. Step 4: Simplify right side
    32,596.16x = 509,055,336.15
  5. Step 5: Solve for x
    x = 509,055,336.15/32,596.16
  6. Step 6: Final answer
    x = 15,617.04

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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.