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Finding the Fourth Proportional to 106,525.34, 159,788.04 and 36,405.26

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Solution

The fourth proportional to 106,525.34, 159,788.04 and 36,405.26 is: 54,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.34 : 159,788.04 = 36,405.26 : x
  2. Step 2: Convert to fraction form
    106,525.34/159,788.04 = 36,405.26/x
  3. Step 3: Cross multiply
    106,525.34x = 159,788.04 × 36,405.26
  4. Step 4: Simplify right side
    106,525.34x = 5,817,125,141.09
  5. Step 5: Solve for x
    x = 5,817,125,141.09/106,525.34
  6. Step 6: Final answer
    x = 54,607.90

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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.