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Finding the Fourth Proportional to 77,659.41, 116,482.96 and 27,734.30

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Solution

The fourth proportional to 77,659.41, 116,482.96 and 27,734.30 is: 41,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.41 : 116,482.96 = 27,734.30 : x
  2. Step 2: Convert to fraction form
    77,659.41/116,482.96 = 27,734.30/x
  3. Step 3: Cross multiply
    77,659.41x = 116,482.96 × 27,734.30
  4. Step 4: Simplify right side
    77,659.41x = 3,230,573,218.86
  5. Step 5: Solve for x
    x = 3,230,573,218.86/77,659.41
  6. Step 6: Final answer
    x = 41,599.25

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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.