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Finding the Fourth Proportional to 34,232.84, 51,336.30 and 13,445

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Solution

The fourth proportional to 34,232.84, 51,336.30 and 13,445 is: 20,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232.84 : 51,336.30 = 13,445 : x
  2. Step 2: Convert to fraction form
    34,232.84/51,336.30 = 13,445/x
  3. Step 3: Cross multiply
    34,232.84x = 51,336.30 × 13,445
  4. Step 4: Simplify right side
    34,232.84x = 690,216,553.50
  5. Step 5: Solve for x
    x = 690,216,553.50/34,232.84
  6. Step 6: Final answer
    x = 20,162.41

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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.