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Finding the Fourth Proportional to 30,812.53, 46,222.04 and 9,755.48

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Solution

The fourth proportional to 30,812.53, 46,222.04 and 9,755.48 is: 14,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.53 : 46,222.04 = 9,755.48 : x
  2. Step 2: Convert to fraction form
    30,812.53/46,222.04 = 9,755.48/x
  3. Step 3: Cross multiply
    30,812.53x = 46,222.04 × 9,755.48
  4. Step 4: Simplify right side
    30,812.53x = 450,917,980.06
  5. Step 5: Solve for x
    x = 450,917,980.06/30,812.53
  6. Step 6: Final answer
    x = 14,634.24

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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.