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Finding the Fourth Proportional to 82,914.60, 114,425.04 and 47,103.48

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Solution

The fourth proportional to 82,914.60, 114,425.04 and 47,103.48 is: 65,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.60 : 114,425.04 = 47,103.48 : x
  2. Step 2: Convert to fraction form
    82,914.60/114,425.04 = 47,103.48/x
  3. Step 3: Cross multiply
    82,914.60x = 114,425.04 × 47,103.48
  4. Step 4: Simplify right side
    82,914.60x = 5,389,817,583.14
  5. Step 5: Solve for x
    x = 5,389,817,583.14/82,914.60
  6. Step 6: Final answer
    x = 65,004.45

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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.