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Finding the Fourth Proportional to 56,278.98, 77,662.10 and 30,780.39

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Solution

The fourth proportional to 56,278.98, 77,662.10 and 30,780.39 is: 42,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,278.98 : 77,662.10 = 30,780.39 : x
  2. Step 2: Convert to fraction form
    56,278.98/77,662.10 = 30,780.39/x
  3. Step 3: Cross multiply
    56,278.98x = 77,662.10 × 30,780.39
  4. Step 4: Simplify right side
    56,278.98x = 2,390,469,511.94
  5. Step 5: Solve for x
    x = 2,390,469,511.94/56,278.98
  6. Step 6: Final answer
    x = 42,475.35

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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.