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Finding the Fourth Proportional to 38,509.44, 53,146.97 and 27,763.17

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Solution

The fourth proportional to 38,509.44, 53,146.97 and 27,763.17 is: 38,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.44 : 53,146.97 = 27,763.17 : x
  2. Step 2: Convert to fraction form
    38,509.44/53,146.97 = 27,763.17/x
  3. Step 3: Cross multiply
    38,509.44x = 53,146.97 × 27,763.17
  4. Step 4: Simplify right side
    38,509.44x = 1,475,528,363.09
  5. Step 5: Solve for x
    x = 1,475,528,363.09/38,509.44
  6. Step 6: Final answer
    x = 38,316.02

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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.