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Finding the Fourth Proportional to 78,416.85, 117,559.15 and 34,010.16

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Solution

The fourth proportional to 78,416.85, 117,559.15 and 34,010.16 is: 50,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.85 : 117,559.15 = 34,010.16 : x
  2. Step 2: Convert to fraction form
    78,416.85/117,559.15 = 34,010.16/x
  3. Step 3: Cross multiply
    78,416.85x = 117,559.15 × 34,010.16
  4. Step 4: Simplify right side
    78,416.85x = 3,998,205,102.63
  5. Step 5: Solve for x
    x = 3,998,205,102.63/78,416.85
  6. Step 6: Final answer
    x = 50,986.55

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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.