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Finding the Fourth Proportional to 58,633.58, 80,914.14 and 31,776.75

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Solution

The fourth proportional to 58,633.58, 80,914.14 and 31,776.75 is: 43,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,633.58 : 80,914.14 = 31,776.75 : x
  2. Step 2: Convert to fraction form
    58,633.58/80,914.14 = 31,776.75/x
  3. Step 3: Cross multiply
    58,633.58x = 80,914.14 × 31,776.75
  4. Step 4: Simplify right side
    58,633.58x = 2,571,188,398.25
  5. Step 5: Solve for x
    x = 2,571,188,398.25/58,633.58
  6. Step 6: Final answer
    x = 43,851.80

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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.