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Finding the Fourth Proportional to 48,218.42, 72,034.38 and 31,212.88

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Solution

The fourth proportional to 48,218.42, 72,034.38 and 31,212.88 is: 46,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,218.42 : 72,034.38 = 31,212.88 : x
  2. Step 2: Convert to fraction form
    48,218.42/72,034.38 = 31,212.88/x
  3. Step 3: Cross multiply
    48,218.42x = 72,034.38 × 31,212.88
  4. Step 4: Simplify right side
    48,218.42x = 2,248,400,278.73
  5. Step 5: Solve for x
    x = 2,248,400,278.73/48,218.42
  6. Step 6: Final answer
    x = 46,629.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.