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Finding the Fourth Proportional to 109,969.12, 164,953.24 and 39,832

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Solution

The fourth proportional to 109,969.12, 164,953.24 and 39,832 is: 59,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.12 : 164,953.24 = 39,832 : x
  2. Step 2: Convert to fraction form
    109,969.12/164,953.24 = 39,832/x
  3. Step 3: Cross multiply
    109,969.12x = 164,953.24 × 39,832
  4. Step 4: Simplify right side
    109,969.12x = 6,570,417,455.68
  5. Step 5: Solve for x
    x = 6,570,417,455.68/109,969.12
  6. Step 6: Final answer
    x = 59,747.84

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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.