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Finding the Fourth Proportional to 53,422.80, 73,727.12 and 30,767.75

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Solution

The fourth proportional to 53,422.80, 73,727.12 and 30,767.75 is: 42,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.80 : 73,727.12 = 30,767.75 : x
  2. Step 2: Convert to fraction form
    53,422.80/73,727.12 = 30,767.75/x
  3. Step 3: Cross multiply
    53,422.80x = 73,727.12 × 30,767.75
  4. Step 4: Simplify right side
    53,422.80x = 2,268,417,596.38
  5. Step 5: Solve for x
    x = 2,268,417,596.38/53,422.80
  6. Step 6: Final answer
    x = 42,461.60

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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.