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Finding the Fourth Proportional to 71,461.59, 107,206.06 and 34,039.29

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Solution

The fourth proportional to 71,461.59, 107,206.06 and 34,039.29 is: 51,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,461.59 : 107,206.06 = 34,039.29 : x
  2. Step 2: Convert to fraction form
    71,461.59/107,206.06 = 34,039.29/x
  3. Step 3: Cross multiply
    71,461.59x = 107,206.06 × 34,039.29
  4. Step 4: Simplify right side
    71,461.59x = 3,649,217,848.08
  5. Step 5: Solve for x
    x = 3,649,217,848.08/71,461.59
  6. Step 6: Final answer
    x = 51,065.44

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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.