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Finding the Fourth Proportional to 32,810.40, 49,213.88 and 9,435.92

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Solution

The fourth proportional to 32,810.40, 49,213.88 and 9,435.92 is: 14,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.40 : 49,213.88 = 9,435.92 : x
  2. Step 2: Convert to fraction form
    32,810.40/49,213.88 = 9,435.92/x
  3. Step 3: Cross multiply
    32,810.40x = 49,213.88 × 9,435.92
  4. Step 4: Simplify right side
    32,810.40x = 464,378,234.57
  5. Step 5: Solve for x
    x = 464,378,234.57/32,810.40
  6. Step 6: Final answer
    x = 14,153.39

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1.5x scale

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.