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Finding the Fourth Proportional to 71,054.60, 106,558.82 and 23,656.96

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Solution

The fourth proportional to 71,054.60, 106,558.82 and 23,656.96 is: 35,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.60 : 106,558.82 = 23,656.96 : x
  2. Step 2: Convert to fraction form
    71,054.60/106,558.82 = 23,656.96/x
  3. Step 3: Cross multiply
    71,054.60x = 106,558.82 × 23,656.96
  4. Step 4: Simplify right side
    71,054.60x = 2,520,857,779.48
  5. Step 5: Solve for x
    x = 2,520,857,779.48/71,054.60
  6. Step 6: Final answer
    x = 35,477.75

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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.