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Finding the Fourth Proportional to 52,659.60, 72,622.08 and 41,176

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Solution

The fourth proportional to 52,659.60, 72,622.08 and 41,176 is: 56,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,659.60 : 72,622.08 = 41,176 : x
  2. Step 2: Convert to fraction form
    52,659.60/72,622.08 = 41,176/x
  3. Step 3: Cross multiply
    52,659.60x = 72,622.08 × 41,176
  4. Step 4: Simplify right side
    52,659.60x = 2,990,286,766.08
  5. Step 5: Solve for x
    x = 2,990,286,766.08/52,659.60
  6. Step 6: Final answer
    x = 56,785.22

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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.