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Finding the Fourth Proportional to 51,912.50, 77,878.48 and 24,210.50

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Solution

The fourth proportional to 51,912.50, 77,878.48 and 24,210.50 is: 36,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912.50 : 77,878.48 = 24,210.50 : x
  2. Step 2: Convert to fraction form
    51,912.50/77,878.48 = 24,210.50/x
  3. Step 3: Cross multiply
    51,912.50x = 77,878.48 × 24,210.50
  4. Step 4: Simplify right side
    51,912.50x = 1,885,476,940.04
  5. Step 5: Solve for x
    x = 1,885,476,940.04/51,912.50
  6. Step 6: Final answer
    x = 36,320.29

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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.