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Finding the Fourth Proportional to 69,770.85, 96,281.77 and 39,559.07

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Solution

The fourth proportional to 69,770.85, 96,281.77 and 39,559.07 is: 54,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,770.85 : 96,281.77 = 39,559.07 : x
  2. Step 2: Convert to fraction form
    69,770.85/96,281.77 = 39,559.07/x
  3. Step 3: Cross multiply
    69,770.85x = 96,281.77 × 39,559.07
  4. Step 4: Simplify right side
    69,770.85x = 3,808,817,279.15
  5. Step 5: Solve for x
    x = 3,808,817,279.15/69,770.85
  6. Step 6: Final answer
    x = 54,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.