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Finding the Fourth Proportional to 71,491.74, 107,167.90 and 34,041.76

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Solution

The fourth proportional to 71,491.74, 107,167.90 and 34,041.76 is: 51,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,491.74 : 107,167.90 = 34,041.76 : x
  2. Step 2: Convert to fraction form
    71,491.74/107,167.90 = 34,041.76/x
  3. Step 3: Cross multiply
    71,491.74x = 107,167.90 × 34,041.76
  4. Step 4: Simplify right side
    71,491.74x = 3,648,183,931.50
  5. Step 5: Solve for x
    x = 3,648,183,931.50/71,491.74
  6. Step 6: Final answer
    x = 51,029.45

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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.