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Finding the Fourth Proportional to 47,694.04, 65,802.54 and 27,548.26

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Solution

The fourth proportional to 47,694.04, 65,802.54 and 27,548.26 is: 38,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694.04 : 65,802.54 = 27,548.26 : x
  2. Step 2: Convert to fraction form
    47,694.04/65,802.54 = 27,548.26/x
  3. Step 3: Cross multiply
    47,694.04x = 65,802.54 × 27,548.26
  4. Step 4: Simplify right side
    47,694.04x = 1,812,745,480.58
  5. Step 5: Solve for x
    x = 1,812,745,480.58/47,694.04
  6. Step 6: Final answer
    x = 38,007.80

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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.