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Finding the Fourth Proportional to 71,751.59, 107,588.30 and 46,447.70

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Solution

The fourth proportional to 71,751.59, 107,588.30 and 46,447.70 is: 69,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.59 : 107,588.30 = 46,447.70 : x
  2. Step 2: Convert to fraction form
    71,751.59/107,588.30 = 46,447.70/x
  3. Step 3: Cross multiply
    71,751.59x = 107,588.30 × 46,447.70
  4. Step 4: Simplify right side
    71,751.59x = 4,997,228,311.73
  5. Step 5: Solve for x
    x = 4,997,228,311.73/71,751.59
  6. Step 6: Final answer
    x = 69,646.24

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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.