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Finding the Fourth Proportional to 78,845.80, 118,074.30 and 52,407.40

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Solution

The fourth proportional to 78,845.80, 118,074.30 and 52,407.40 is: 78,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,845.80 : 118,074.30 = 52,407.40 : x
  2. Step 2: Convert to fraction form
    78,845.80/118,074.30 = 52,407.40/x
  3. Step 3: Cross multiply
    78,845.80x = 118,074.30 × 52,407.40
  4. Step 4: Simplify right side
    78,845.80x = 6,187,967,069.82
  5. Step 5: Solve for x
    x = 6,187,967,069.82/78,845.80
  6. Step 6: Final answer
    x = 78,481.89

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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.