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Finding the Fourth Proportional to 32,300.72, 44,576.88 and 17,960.84

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Solution

The fourth proportional to 32,300.72, 44,576.88 and 17,960.84 is: 24,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300.72 : 44,576.88 = 17,960.84 : x
  2. Step 2: Convert to fraction form
    32,300.72/44,576.88 = 17,960.84/x
  3. Step 3: Cross multiply
    32,300.72x = 44,576.88 × 17,960.84
  4. Step 4: Simplify right side
    32,300.72x = 800,638,209.38
  5. Step 5: Solve for x
    x = 800,638,209.38/32,300.72
  6. Step 6: Final answer
    x = 24,787.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.