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Finding the Fourth Proportional to 71,337.94, 106,929.68 and 46,395.88

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Solution

The fourth proportional to 71,337.94, 106,929.68 and 46,395.88 is: 69,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,337.94 : 106,929.68 = 46,395.88 : x
  2. Step 2: Convert to fraction form
    71,337.94/106,929.68 = 46,395.88/x
  3. Step 3: Cross multiply
    71,337.94x = 106,929.68 × 46,395.88
  4. Step 4: Simplify right side
    71,337.94x = 4,961,096,601.72
  5. Step 5: Solve for x
    x = 4,961,096,601.72/71,337.94
  6. Step 6: Final answer
    x = 69,543.59

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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.