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Finding the Fourth Proportional to 18,053.14, 27,079.59 and 4,905.46

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Solution

The fourth proportional to 18,053.14, 27,079.59 and 4,905.46 is: 7,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,053.14 : 27,079.59 = 4,905.46 : x
  2. Step 2: Convert to fraction form
    18,053.14/27,079.59 = 4,905.46/x
  3. Step 3: Cross multiply
    18,053.14x = 27,079.59 × 4,905.46
  4. Step 4: Simplify right side
    18,053.14x = 132,837,845.56
  5. Step 5: Solve for x
    x = 132,837,845.56/18,053.14
  6. Step 6: Final answer
    x = 7,358.16

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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.