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Finding the Fourth Proportional to 32,817.80, 49,220.76 and 9,438.50

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Solution

The fourth proportional to 32,817.80, 49,220.76 and 9,438.50 is: 14,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.80 : 49,220.76 = 9,438.50 : x
  2. Step 2: Convert to fraction form
    32,817.80/49,220.76 = 9,438.50/x
  3. Step 3: Cross multiply
    32,817.80x = 49,220.76 × 9,438.50
  4. Step 4: Simplify right side
    32,817.80x = 464,570,143.26
  5. Step 5: Solve for x
    x = 464,570,143.26/32,817.80
  6. Step 6: Final answer
    x = 14,156.04

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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.