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Finding the Fourth Proportional to 32,414.70, 48,622.05 and 7,790.70

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Solution

The fourth proportional to 32,414.70, 48,622.05 and 7,790.70 is: 11,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.70 : 48,622.05 = 7,790.70 : x
  2. Step 2: Convert to fraction form
    32,414.70/48,622.05 = 7,790.70/x
  3. Step 3: Cross multiply
    32,414.70x = 48,622.05 × 7,790.70
  4. Step 4: Simplify right side
    32,414.70x = 378,799,804.94
  5. Step 5: Solve for x
    x = 378,799,804.94/32,414.70
  6. Step 6: Final answer
    x = 11,686.05

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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.