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Finding the Fourth Proportional to 71,710.93, 107,566.23 and 34,157.10

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Solution

The fourth proportional to 71,710.93, 107,566.23 and 34,157.10 is: 51,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.93 : 107,566.23 = 34,157.10 : x
  2. Step 2: Convert to fraction form
    71,710.93/107,566.23 = 34,157.10/x
  3. Step 3: Cross multiply
    71,710.93x = 107,566.23 × 34,157.10
  4. Step 4: Simplify right side
    71,710.93x = 3,674,150,474.73
  5. Step 5: Solve for x
    x = 3,674,150,474.73/71,710.93
  6. Step 6: Final answer
    x = 51,235.57

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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.