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Finding the Fourth Proportional to 34,050.40, 51,046.88 and 16,271

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Solution

The fourth proportional to 34,050.40, 51,046.88 and 16,271 is: 24,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050.40 : 51,046.88 = 16,271 : x
  2. Step 2: Convert to fraction form
    34,050.40/51,046.88 = 16,271/x
  3. Step 3: Cross multiply
    34,050.40x = 51,046.88 × 16,271
  4. Step 4: Simplify right side
    34,050.40x = 830,583,784.48
  5. Step 5: Solve for x
    x = 830,583,784.48/34,050.40
  6. Step 6: Final answer
    x = 24,392.78

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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.