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Finding the Fourth Proportional to 35,129.52, 52,694.28 and 14,353

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Solution

The fourth proportional to 35,129.52, 52,694.28 and 14,353 is: 21,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,129.52 : 52,694.28 = 14,353 : x
  2. Step 2: Convert to fraction form
    35,129.52/52,694.28 = 14,353/x
  3. Step 3: Cross multiply
    35,129.52x = 52,694.28 × 14,353
  4. Step 4: Simplify right side
    35,129.52x = 756,321,000.84
  5. Step 5: Solve for x
    x = 756,321,000.84/35,129.52
  6. Step 6: Final answer
    x = 21,529.50

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1.5x scale

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.