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Finding the Fourth Proportional to 30,338.46, 45,507.69 and 11,857.50

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Solution

The fourth proportional to 30,338.46, 45,507.69 and 11,857.50 is: 17,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.46 : 45,507.69 = 11,857.50 : x
  2. Step 2: Convert to fraction form
    30,338.46/45,507.69 = 11,857.50/x
  3. Step 3: Cross multiply
    30,338.46x = 45,507.69 × 11,857.50
  4. Step 4: Simplify right side
    30,338.46x = 539,607,434.18
  5. Step 5: Solve for x
    x = 539,607,434.18/30,338.46
  6. Step 6: Final answer
    x = 17,786.25

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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.