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Finding the Fourth Proportional to 32,756.40, 49,134.60 and 9,063.90

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Solution

The fourth proportional to 32,756.40, 49,134.60 and 9,063.90 is: 13,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,756.40 : 49,134.60 = 9,063.90 : x
  2. Step 2: Convert to fraction form
    32,756.40/49,134.60 = 9,063.90/x
  3. Step 3: Cross multiply
    32,756.40x = 49,134.60 × 9,063.90
  4. Step 4: Simplify right side
    32,756.40x = 445,351,100.94
  5. Step 5: Solve for x
    x = 445,351,100.94/32,756.40
  6. Step 6: Final answer
    x = 13,595.85

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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.