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Finding the Fourth Proportional to 32,815.80, 49,217.76 and 9,436.50

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Solution

The fourth proportional to 32,815.80, 49,217.76 and 9,436.50 is: 14,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.80 : 49,217.76 = 9,436.50 : x
  2. Step 2: Convert to fraction form
    32,815.80/49,217.76 = 9,436.50/x
  3. Step 3: Cross multiply
    32,815.80x = 49,217.76 × 9,436.50
  4. Step 4: Simplify right side
    32,815.80x = 464,443,392.24
  5. Step 5: Solve for x
    x = 464,443,392.24/32,815.80
  6. Step 6: Final answer
    x = 14,153.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.