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Finding the Fourth Proportional to 77,658.91, 116,482.21 and 27,733.80

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Solution

The fourth proportional to 77,658.91, 116,482.21 and 27,733.80 is: 41,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.91 : 116,482.21 = 27,733.80 : x
  2. Step 2: Convert to fraction form
    77,658.91/116,482.21 = 27,733.80/x
  3. Step 3: Cross multiply
    77,658.91x = 116,482.21 × 27,733.80
  4. Step 4: Simplify right side
    77,658.91x = 3,230,494,027.96
  5. Step 5: Solve for x
    x = 3,230,494,027.96/77,658.91
  6. Step 6: Final answer
    x = 41,598.50

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