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Finding the Fourth Proportional to 71,817, 107,725.50 and 25,057.32

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Solution

The fourth proportional to 71,817, 107,725.50 and 25,057.32 is: 37,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,817 : 107,725.50 = 25,057.32 : x
  2. Step 2: Convert to fraction form
    71,817/107,725.50 = 25,057.32/x
  3. Step 3: Cross multiply
    71,817x = 107,725.50 × 25,057.32
  4. Step 4: Simplify right side
    71,817x = 2,699,312,325.66
  5. Step 5: Solve for x
    x = 2,699,312,325.66/71,817
  6. Step 6: Final answer
    x = 37,585.98

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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.