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Finding the Fourth Proportional to 33,135.12, 49,701.06 and 12,357

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Solution

The fourth proportional to 33,135.12, 49,701.06 and 12,357 is: 18,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.12 : 49,701.06 = 12,357 : x
  2. Step 2: Convert to fraction form
    33,135.12/49,701.06 = 12,357/x
  3. Step 3: Cross multiply
    33,135.12x = 49,701.06 × 12,357
  4. Step 4: Simplify right side
    33,135.12x = 614,155,998.42
  5. Step 5: Solve for x
    x = 614,155,998.42/33,135.12
  6. Step 6: Final answer
    x = 18,534.90

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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.