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Finding the Fourth Proportional to 109,852.96, 164,706.51 and 39,723.16

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Solution

The fourth proportional to 109,852.96, 164,706.51 and 39,723.16 is: 59,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.96 : 164,706.51 = 39,723.16 : x
  2. Step 2: Convert to fraction form
    109,852.96/164,706.51 = 39,723.16/x
  3. Step 3: Cross multiply
    109,852.96x = 164,706.51 × 39,723.16
  4. Step 4: Simplify right side
    109,852.96x = 6,542,663,049.77
  5. Step 5: Solve for x
    x = 6,542,663,049.77/109,852.96
  6. Step 6: Final answer
    x = 59,558.37

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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.