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Finding the Fourth Proportional to 51,238.50, 76,870.74 and 14,302.50

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Solution

The fourth proportional to 51,238.50, 76,870.74 and 14,302.50 is: 21,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238.50 : 76,870.74 = 14,302.50 : x
  2. Step 2: Convert to fraction form
    51,238.50/76,870.74 = 14,302.50/x
  3. Step 3: Cross multiply
    51,238.50x = 76,870.74 × 14,302.50
  4. Step 4: Simplify right side
    51,238.50x = 1,099,443,758.85
  5. Step 5: Solve for x
    x = 1,099,443,758.85/51,238.50
  6. Step 6: Final answer
    x = 21,457.38

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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.