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Finding the Fourth Proportional to 32,495.80, 48,719.40 and 17,721.40

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Solution

The fourth proportional to 32,495.80, 48,719.40 and 17,721.40 is: 26,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.80 : 48,719.40 = 17,721.40 : x
  2. Step 2: Convert to fraction form
    32,495.80/48,719.40 = 17,721.40/x
  3. Step 3: Cross multiply
    32,495.80x = 48,719.40 × 17,721.40
  4. Step 4: Simplify right side
    32,495.80x = 863,375,975.16
  5. Step 5: Solve for x
    x = 863,375,975.16/32,495.80
  6. Step 6: Final answer
    x = 26,568.85

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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.