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Finding the Fourth Proportional to 77,247.46, 115,858.23 and 21,830.50

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Solution

The fourth proportional to 77,247.46, 115,858.23 and 21,830.50 is: 32,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,247.46 : 115,858.23 = 21,830.50 : x
  2. Step 2: Convert to fraction form
    77,247.46/115,858.23 = 21,830.50/x
  3. Step 3: Cross multiply
    77,247.46x = 115,858.23 × 21,830.50
  4. Step 4: Simplify right side
    77,247.46x = 2,529,243,090.02
  5. Step 5: Solve for x
    x = 2,529,243,090.02/77,247.46
  6. Step 6: Final answer
    x = 32,742.09

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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.