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Finding the Fourth Proportional to 56,180.96, 77,523.12 and 31,028.96

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Solution

The fourth proportional to 56,180.96, 77,523.12 and 31,028.96 is: 42,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,180.96 : 77,523.12 = 31,028.96 : x
  2. Step 2: Convert to fraction form
    56,180.96/77,523.12 = 31,028.96/x
  3. Step 3: Cross multiply
    56,180.96x = 77,523.12 × 31,028.96
  4. Step 4: Simplify right side
    56,180.96x = 2,405,461,789.56
  5. Step 5: Solve for x
    x = 2,405,461,789.56/56,180.96
  6. Step 6: Final answer
    x = 42,816.32

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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.