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Finding the Fourth Proportional to 47,843.02, 66,020.47 and 27,698.42

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Solution

The fourth proportional to 47,843.02, 66,020.47 and 27,698.42 is: 38,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.02 : 66,020.47 = 27,698.42 : x
  2. Step 2: Convert to fraction form
    47,843.02/66,020.47 = 27,698.42/x
  3. Step 3: Cross multiply
    47,843.02x = 66,020.47 × 27,698.42
  4. Step 4: Simplify right side
    47,843.02x = 1,828,662,802.46
  5. Step 5: Solve for x
    x = 1,828,662,802.46/47,843.02
  6. Step 6: Final answer
    x = 38,222.14

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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.