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Finding the Fourth Proportional to 35,149.95, 52,719.46 and 12,951.90

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Solution

The fourth proportional to 35,149.95, 52,719.46 and 12,951.90 is: 19,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149.95 : 52,719.46 = 12,951.90 : x
  2. Step 2: Convert to fraction form
    35,149.95/52,719.46 = 12,951.90/x
  3. Step 3: Cross multiply
    35,149.95x = 52,719.46 × 12,951.90
  4. Step 4: Simplify right side
    35,149.95x = 682,817,141.59
  5. Step 5: Solve for x
    x = 682,817,141.59/35,149.95
  6. Step 6: Final answer
    x = 19,425.84

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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.