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Finding the Fourth Proportional to 32,155.69, 48,236.87 and 8,782.13

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Solution

The fourth proportional to 32,155.69, 48,236.87 and 8,782.13 is: 13,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.69 : 48,236.87 = 8,782.13 : x
  2. Step 2: Convert to fraction form
    32,155.69/48,236.87 = 8,782.13/x
  3. Step 3: Cross multiply
    32,155.69x = 48,236.87 × 8,782.13
  4. Step 4: Simplify right side
    32,155.69x = 423,622,243.90
  5. Step 5: Solve for x
    x = 423,622,243.90/32,155.69
  6. Step 6: Final answer
    x = 13,174.10

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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.