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Finding the Fourth Proportional to 71,611.65, 107,419.59 and 34,175.70

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Solution

The fourth proportional to 71,611.65, 107,419.59 and 34,175.70 is: 51,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,611.65 : 107,419.59 = 34,175.70 : x
  2. Step 2: Convert to fraction form
    71,611.65/107,419.59 = 34,175.70/x
  3. Step 3: Cross multiply
    71,611.65x = 107,419.59 × 34,175.70
  4. Step 4: Simplify right side
    71,611.65x = 3,671,139,681.96
  5. Step 5: Solve for x
    x = 3,671,139,681.96/71,611.65
  6. Step 6: Final answer
    x = 51,264.56

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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.