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Finding the Fourth Proportional to 43,138.30, 64,697.73 and 16,829.50

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Solution

The fourth proportional to 43,138.30, 64,697.73 and 16,829.50 is: 25,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,138.30 : 64,697.73 = 16,829.50 : x
  2. Step 2: Convert to fraction form
    43,138.30/64,697.73 = 16,829.50/x
  3. Step 3: Cross multiply
    43,138.30x = 64,697.73 × 16,829.50
  4. Step 4: Simplify right side
    43,138.30x = 1,088,830,201.14
  5. Step 5: Solve for x
    x = 1,088,830,201.14/43,138.30
  6. Step 6: Final answer
    x = 25,240.45

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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.