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Finding the Fourth Proportional to 55,974.32, 77,245.08 and 30,824

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Solution

The fourth proportional to 55,974.32, 77,245.08 and 30,824 is: 42,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974.32 : 77,245.08 = 30,824 : x
  2. Step 2: Convert to fraction form
    55,974.32/77,245.08 = 30,824/x
  3. Step 3: Cross multiply
    55,974.32x = 77,245.08 × 30,824
  4. Step 4: Simplify right side
    55,974.32x = 2,381,002,345.92
  5. Step 5: Solve for x
    x = 2,381,002,345.92/55,974.32
  6. Step 6: Final answer
    x = 42,537.41

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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.