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Finding the Fourth Proportional to 51,934.50, 77,914.71 and 14,998.50

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Solution

The fourth proportional to 51,934.50, 77,914.71 and 14,998.50 is: 22,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,934.50 : 77,914.71 = 14,998.50 : x
  2. Step 2: Convert to fraction form
    51,934.50/77,914.71 = 14,998.50/x
  3. Step 3: Cross multiply
    51,934.50x = 77,914.71 × 14,998.50
  4. Step 4: Simplify right side
    51,934.50x = 1,168,603,777.94
  5. Step 5: Solve for x
    x = 1,168,603,777.94/51,934.50
  6. Step 6: Final answer
    x = 22,501.49

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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.