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Finding the Fourth Proportional to 48,230.64, 72,229.32 and 41,698.80

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Solution

The fourth proportional to 48,230.64, 72,229.32 and 41,698.80 is: 62,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,230.64 : 72,229.32 = 41,698.80 : x
  2. Step 2: Convert to fraction form
    48,230.64/72,229.32 = 41,698.80/x
  3. Step 3: Cross multiply
    48,230.64x = 72,229.32 × 41,698.80
  4. Step 4: Simplify right side
    48,230.64x = 3,011,875,968.82
  5. Step 5: Solve for x
    x = 3,011,875,968.82/48,230.64
  6. Step 6: Final answer
    x = 62,447.36

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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.