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Finding the Fourth Proportional to 31,094.60, 46,624.80 and 21,245

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Solution

The fourth proportional to 31,094.60, 46,624.80 and 21,245 is: 31,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.60 : 46,624.80 = 21,245 : x
  2. Step 2: Convert to fraction form
    31,094.60/46,624.80 = 21,245/x
  3. Step 3: Cross multiply
    31,094.60x = 46,624.80 × 21,245
  4. Step 4: Simplify right side
    31,094.60x = 990,543,876.00
  5. Step 5: Solve for x
    x = 990,543,876.00/31,094.60
  6. Step 6: Final answer
    x = 31,855.82

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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.