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Finding the Fourth Proportional to 92,308.96, 127,386.42 and 49,867.48

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Solution

The fourth proportional to 92,308.96, 127,386.42 and 49,867.48 is: 68,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,308.96 : 127,386.42 = 49,867.48 : x
  2. Step 2: Convert to fraction form
    92,308.96/127,386.42 = 49,867.48/x
  3. Step 3: Cross multiply
    92,308.96x = 127,386.42 × 49,867.48
  4. Step 4: Simplify right side
    92,308.96x = 6,352,439,751.62
  5. Step 5: Solve for x
    x = 6,352,439,751.62/92,308.96
  6. Step 6: Final answer
    x = 68,817.15

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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.