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Finding the Fourth Proportional to 84,697.80, 127,097.10 and 32,112.60

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Solution

The fourth proportional to 84,697.80, 127,097.10 and 32,112.60 is: 48,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697.80 : 127,097.10 = 32,112.60 : x
  2. Step 2: Convert to fraction form
    84,697.80/127,097.10 = 32,112.60/x
  3. Step 3: Cross multiply
    84,697.80x = 127,097.10 × 32,112.60
  4. Step 4: Simplify right side
    84,697.80x = 4,081,418,333.46
  5. Step 5: Solve for x
    x = 4,081,418,333.46/84,697.80
  6. Step 6: Final answer
    x = 48,188.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.