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Finding the Fourth Proportional to 32,874.80, 49,313.80 and 9,182.32

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Solution

The fourth proportional to 32,874.80, 49,313.80 and 9,182.32 is: 13,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.80 : 49,313.80 = 9,182.32 : x
  2. Step 2: Convert to fraction form
    32,874.80/49,313.80 = 9,182.32/x
  3. Step 3: Cross multiply
    32,874.80x = 49,313.80 × 9,182.32
  4. Step 4: Simplify right side
    32,874.80x = 452,815,092.02
  5. Step 5: Solve for x
    x = 452,815,092.02/32,874.80
  6. Step 6: Final answer
    x = 13,773.93

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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.