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Finding the Fourth Proportional to 52,785.12, 72,801 and 40,880.64

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Solution

The fourth proportional to 52,785.12, 72,801 and 40,880.64 is: 56,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785.12 : 72,801 = 40,880.64 : x
  2. Step 2: Convert to fraction form
    52,785.12/72,801 = 40,880.64/x
  3. Step 3: Cross multiply
    52,785.12x = 72,801 × 40,880.64
  4. Step 4: Simplify right side
    52,785.12x = 2,976,151,472.64
  5. Step 5: Solve for x
    x = 2,976,151,472.64/52,785.12
  6. Step 6: Final answer
    x = 56,382.39

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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.