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Finding the Fourth Proportional to 34,551.62, 51,838.38 and 12,364.50

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Solution

The fourth proportional to 34,551.62, 51,838.38 and 12,364.50 is: 18,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551.62 : 51,838.38 = 12,364.50 : x
  2. Step 2: Convert to fraction form
    34,551.62/51,838.38 = 12,364.50/x
  3. Step 3: Cross multiply
    34,551.62x = 51,838.38 × 12,364.50
  4. Step 4: Simplify right side
    34,551.62x = 640,955,649.51
  5. Step 5: Solve for x
    x = 640,955,649.51/34,551.62
  6. Step 6: Final answer
    x = 18,550.67

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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.