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Finding the Fourth Proportional to 55,993.30, 77,270.76 and 30,842.80

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Solution

The fourth proportional to 55,993.30, 77,270.76 and 30,842.80 is: 42,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,993.30 : 77,270.76 = 30,842.80 : x
  2. Step 2: Convert to fraction form
    55,993.30/77,270.76 = 30,842.80/x
  3. Step 3: Cross multiply
    55,993.30x = 77,270.76 × 30,842.80
  4. Step 4: Simplify right side
    55,993.30x = 2,383,246,596.53
  5. Step 5: Solve for x
    x = 2,383,246,596.53/55,993.30
  6. Step 6: Final answer
    x = 42,563.07

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1.5x scale

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.