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Finding the Fourth Proportional to 38,991.13, 53,744.57 and 30,478.21

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Solution

The fourth proportional to 38,991.13, 53,744.57 and 30,478.21 is: 42,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,991.13 : 53,744.57 = 30,478.21 : x
  2. Step 2: Convert to fraction form
    38,991.13/53,744.57 = 30,478.21/x
  3. Step 3: Cross multiply
    38,991.13x = 53,744.57 × 30,478.21
  4. Step 4: Simplify right side
    38,991.13x = 1,638,038,138.43
  5. Step 5: Solve for x
    x = 1,638,038,138.43/38,991.13
  6. Step 6: Final answer
    x = 42,010.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.