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Finding the Fourth Proportional to 32,199.70, 48,299.55 and 8,826.10

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Solution

The fourth proportional to 32,199.70, 48,299.55 and 8,826.10 is: 13,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.70 : 48,299.55 = 8,826.10 : x
  2. Step 2: Convert to fraction form
    32,199.70/48,299.55 = 8,826.10/x
  3. Step 3: Cross multiply
    32,199.70x = 48,299.55 × 8,826.10
  4. Step 4: Simplify right side
    32,199.70x = 426,296,658.26
  5. Step 5: Solve for x
    x = 426,296,658.26/32,199.70
  6. Step 6: Final answer
    x = 13,239.15

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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.