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Finding the Fourth Proportional to 78,977.70, 118,513.35 and 29,092.86

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Solution

The fourth proportional to 78,977.70, 118,513.35 and 29,092.86 is: 43,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,977.70 : 118,513.35 = 29,092.86 : x
  2. Step 2: Convert to fraction form
    78,977.70/118,513.35 = 29,092.86/x
  3. Step 3: Cross multiply
    78,977.70x = 118,513.35 × 29,092.86
  4. Step 4: Simplify right side
    78,977.70x = 3,447,892,299.68
  5. Step 5: Solve for x
    x = 3,447,892,299.68/78,977.70
  6. Step 6: Final answer
    x = 43,656.53

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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.