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Finding the Fourth Proportional to 47,967.59, 66,195.33 and 27,828.36

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Solution

The fourth proportional to 47,967.59, 66,195.33 and 27,828.36 is: 38,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.59 : 66,195.33 = 27,828.36 : x
  2. Step 2: Convert to fraction form
    47,967.59/66,195.33 = 27,828.36/x
  3. Step 3: Cross multiply
    47,967.59x = 66,195.33 × 27,828.36
  4. Step 4: Simplify right side
    47,967.59x = 1,842,107,369.20
  5. Step 5: Solve for x
    x = 1,842,107,369.20/47,967.59
  6. Step 6: Final answer
    x = 38,403.16

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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.