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Finding the Fourth Proportional to 106,388.96, 159,587.50 and 39,822.08

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Solution

The fourth proportional to 106,388.96, 159,587.50 and 39,822.08 is: 59,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.96 : 159,587.50 = 39,822.08 : x
  2. Step 2: Convert to fraction form
    106,388.96/159,587.50 = 39,822.08/x
  3. Step 3: Cross multiply
    106,388.96x = 159,587.50 × 39,822.08
  4. Step 4: Simplify right side
    106,388.96x = 6,355,106,192
  5. Step 5: Solve for x
    x = 6,355,106,192/106,388.96
  6. Step 6: Final answer
    x = 59,734.64

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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.