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Finding the Fourth Proportional to 106,056.58, 159,051.04 and 34,965.97

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Solution

The fourth proportional to 106,056.58, 159,051.04 and 34,965.97 is: 52,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056.58 : 159,051.04 = 34,965.97 : x
  2. Step 2: Convert to fraction form
    106,056.58/159,051.04 = 34,965.97/x
  3. Step 3: Cross multiply
    106,056.58x = 159,051.04 × 34,965.97
  4. Step 4: Simplify right side
    106,056.58x = 5,561,373,893.11
  5. Step 5: Solve for x
    x = 5,561,373,893.11/106,056.58
  6. Step 6: Final answer
    x = 52,437.80

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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.