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Finding the Fourth Proportional to 47,186.18, 65,112.95 and 27,802.00

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Solution

The fourth proportional to 47,186.18, 65,112.95 and 27,802.00 is: 38,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,186.18 : 65,112.95 = 27,802.00 : x
  2. Step 2: Convert to fraction form
    47,186.18/65,112.95 = 27,802.00/x
  3. Step 3: Cross multiply
    47,186.18x = 65,112.95 × 27,802.00
  4. Step 4: Simplify right side
    47,186.18x = 1,810,270,142.62
  5. Step 5: Solve for x
    x = 1,810,270,142.62/47,186.18
  6. Step 6: Final answer
    x = 38,364.42

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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.