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Finding the Fourth Proportional to 34,132.84, 51,191.58 and 12,244.84

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Solution

The fourth proportional to 34,132.84, 51,191.58 and 12,244.84 is: 18,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132.84 : 51,191.58 = 12,244.84 : x
  2. Step 2: Convert to fraction form
    34,132.84/51,191.58 = 12,244.84/x
  3. Step 3: Cross multiply
    34,132.84x = 51,191.58 × 12,244.84
  4. Step 4: Simplify right side
    34,132.84x = 626,832,706.45
  5. Step 5: Solve for x
    x = 626,832,706.45/34,132.84
  6. Step 6: Final answer
    x = 18,364.50

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Why These Related Problems?

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