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Finding the Fourth Proportional to 47,855.04, 66,042.12 and 27,712.80

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Solution

The fourth proportional to 47,855.04, 66,042.12 and 27,712.80 is: 38,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.04 : 66,042.12 = 27,712.80 : x
  2. Step 2: Convert to fraction form
    47,855.04/66,042.12 = 27,712.80/x
  3. Step 3: Cross multiply
    47,855.04x = 66,042.12 × 27,712.80
  4. Step 4: Simplify right side
    47,855.04x = 1,830,212,063.14
  5. Step 5: Solve for x
    x = 1,830,212,063.14/47,855.04
  6. Step 6: Final answer
    x = 38,244.92

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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.