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Finding the Fourth Proportional to 30,627, 45,923.52 and 11,895.48

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Solution

The fourth proportional to 30,627, 45,923.52 and 11,895.48 is: 17,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627 : 45,923.52 = 11,895.48 : x
  2. Step 2: Convert to fraction form
    30,627/45,923.52 = 11,895.48/x
  3. Step 3: Cross multiply
    30,627x = 45,923.52 × 11,895.48
  4. Step 4: Simplify right side
    30,627x = 546,282,313.69
  5. Step 5: Solve for x
    x = 546,282,313.69/30,627
  6. Step 6: Final answer
    x = 17,836.62

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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.