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Finding the Fourth Proportional to 76,562.64, 114,826.68 and 27,314.64

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Solution

The fourth proportional to 76,562.64, 114,826.68 and 27,314.64 is: 40,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562.64 : 114,826.68 = 27,314.64 : x
  2. Step 2: Convert to fraction form
    76,562.64/114,826.68 = 27,314.64/x
  3. Step 3: Cross multiply
    76,562.64x = 114,826.68 × 27,314.64
  4. Step 4: Simplify right side
    76,562.64x = 3,136,449,426.60
  5. Step 5: Solve for x
    x = 3,136,449,426.60/76,562.64
  6. Step 6: Final answer
    x = 40,965.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.