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Finding the Fourth Proportional to 109,235.82, 163,871.01 and 39,113.58

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Solution

The fourth proportional to 109,235.82, 163,871.01 and 39,113.58 is: 58,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,235.82 : 163,871.01 = 39,113.58 : x
  2. Step 2: Convert to fraction form
    109,235.82/163,871.01 = 39,113.58/x
  3. Step 3: Cross multiply
    109,235.82x = 163,871.01 × 39,113.58
  4. Step 4: Simplify right side
    109,235.82x = 6,409,581,859.32
  5. Step 5: Solve for x
    x = 6,409,581,859.32/109,235.82
  6. Step 6: Final answer
    x = 58,676.56

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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.