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Finding the Fourth Proportional to 76,770.88, 105,943.56 and 42,780.82

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Solution

The fourth proportional to 76,770.88, 105,943.56 and 42,780.82 is: 59,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770.88 : 105,943.56 = 42,780.82 : x
  2. Step 2: Convert to fraction form
    76,770.88/105,943.56 = 42,780.82/x
  3. Step 3: Cross multiply
    76,770.88x = 105,943.56 × 42,780.82
  4. Step 4: Simplify right side
    76,770.88x = 4,532,352,370.52
  5. Step 5: Solve for x
    x = 4,532,352,370.52/76,770.88
  6. Step 6: Final answer
    x = 59,037.39

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