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Finding the Fourth Proportional to 34,384.84, 51,568.88 and 14,383.50

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Solution

The fourth proportional to 34,384.84, 51,568.88 and 14,383.50 is: 21,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384.84 : 51,568.88 = 14,383.50 : x
  2. Step 2: Convert to fraction form
    34,384.84/51,568.88 = 14,383.50/x
  3. Step 3: Cross multiply
    34,384.84x = 51,568.88 × 14,383.50
  4. Step 4: Simplify right side
    34,384.84x = 741,740,985.48
  5. Step 5: Solve for x
    x = 741,740,985.48/34,384.84
  6. Step 6: Final answer
    x = 21,571.74

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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.