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Finding the Fourth Proportional to 78,780.78, 118,072.61 and 39,348.90

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Solution

The fourth proportional to 78,780.78, 118,072.61 and 39,348.90 is: 58,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.78 : 118,072.61 = 39,348.90 : x
  2. Step 2: Convert to fraction form
    78,780.78/118,072.61 = 39,348.90/x
  3. Step 3: Cross multiply
    78,780.78x = 118,072.61 × 39,348.90
  4. Step 4: Simplify right side
    78,780.78x = 4,646,027,323.63
  5. Step 5: Solve for x
    x = 4,646,027,323.63/78,780.78
  6. Step 6: Final answer
    x = 58,974.12

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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.