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Finding the Fourth Proportional to 30,744.77, 46,112.90 and 11,020.46

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Solution

The fourth proportional to 30,744.77, 46,112.90 and 11,020.46 is: 16,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.77 : 46,112.90 = 11,020.46 : x
  2. Step 2: Convert to fraction form
    30,744.77/46,112.90 = 11,020.46/x
  3. Step 3: Cross multiply
    30,744.77x = 46,112.90 × 11,020.46
  4. Step 4: Simplify right side
    30,744.77x = 508,185,084.27
  5. Step 5: Solve for x
    x = 508,185,084.27/30,744.77
  6. Step 6: Final answer
    x = 16,529.16

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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.