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Finding the Fourth Proportional to 38,469.48, 53,106.66 and 30,486.12

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Solution

The fourth proportional to 38,469.48, 53,106.66 and 30,486.12 is: 42,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.48 : 53,106.66 = 30,486.12 : x
  2. Step 2: Convert to fraction form
    38,469.48/53,106.66 = 30,486.12/x
  3. Step 3: Cross multiply
    38,469.48x = 53,106.66 × 30,486.12
  4. Step 4: Simplify right side
    38,469.48x = 1,619,016,009.56
  5. Step 5: Solve for x
    x = 1,619,016,009.56/38,469.48
  6. Step 6: Final answer
    x = 42,085.73

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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.