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Finding the Fourth Proportional to 75,770.64, 104,559.36 and 43,506.90

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Solution

The fourth proportional to 75,770.64, 104,559.36 and 43,506.90 is: 60,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.64 : 104,559.36 = 43,506.90 : x
  2. Step 2: Convert to fraction form
    75,770.64/104,559.36 = 43,506.90/x
  3. Step 3: Cross multiply
    75,770.64x = 104,559.36 × 43,506.90
  4. Step 4: Simplify right side
    75,770.64x = 4,549,053,619.58
  5. Step 5: Solve for x
    x = 4,549,053,619.58/75,770.64
  6. Step 6: Final answer
    x = 60,037.15

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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.