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Finding the Fourth Proportional to 127,103.76, 190,654.81 and 32,333.14

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Solution

The fourth proportional to 127,103.76, 190,654.81 and 32,333.14 is: 48,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,103.76 : 190,654.81 = 32,333.14 : x
  2. Step 2: Convert to fraction form
    127,103.76/190,654.81 = 32,333.14/x
  3. Step 3: Cross multiply
    127,103.76x = 190,654.81 × 32,333.14
  4. Step 4: Simplify right side
    127,103.76x = 6,164,468,663.40
  5. Step 5: Solve for x
    x = 6,164,468,663.40/127,103.76
  6. Step 6: Final answer
    x = 48,499.50

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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.