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Finding the Fourth Proportional to 51,678.84, 77,518.28 and 16,618.50

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Solution

The fourth proportional to 51,678.84, 77,518.28 and 16,618.50 is: 24,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.84 : 77,518.28 = 16,618.50 : x
  2. Step 2: Convert to fraction form
    51,678.84/77,518.28 = 16,618.50/x
  3. Step 3: Cross multiply
    51,678.84x = 77,518.28 × 16,618.50
  4. Step 4: Simplify right side
    51,678.84x = 1,288,237,577.73
  5. Step 5: Solve for x
    x = 1,288,237,577.73/51,678.84
  6. Step 6: Final answer
    x = 24,927.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.