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Finding the Fourth Proportional to 52,382.80, 72,238.01 and 35,194.01

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Solution

The fourth proportional to 52,382.80, 72,238.01 and 35,194.01 is: 48,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.80 : 72,238.01 = 35,194.01 : x
  2. Step 2: Convert to fraction form
    52,382.80/72,238.01 = 35,194.01/x
  3. Step 3: Cross multiply
    52,382.80x = 72,238.01 × 35,194.01
  4. Step 4: Simplify right side
    52,382.80x = 2,542,344,709.16
  5. Step 5: Solve for x
    x = 2,542,344,709.16/52,382.80
  6. Step 6: Final answer
    x = 48,533.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.