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Finding the Fourth Proportional to 71,710.70, 107,529.60 and 42,137.60

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Solution

The fourth proportional to 71,710.70, 107,529.60 and 42,137.60 is: 63,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.70 : 107,529.60 = 42,137.60 : x
  2. Step 2: Convert to fraction form
    71,710.70/107,529.60 = 42,137.60/x
  3. Step 3: Cross multiply
    71,710.70x = 107,529.60 × 42,137.60
  4. Step 4: Simplify right side
    71,710.70x = 4,531,039,272.96
  5. Step 5: Solve for x
    x = 4,531,039,272.96/71,710.70
  6. Step 6: Final answer
    x = 63,184.98

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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.