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Finding the Fourth Proportional to 92,470.82, 127,493.54 and 75,457.78

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Solution

The fourth proportional to 92,470.82, 127,493.54 and 75,457.78 is: 104,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,470.82 : 127,493.54 = 75,457.78 : x
  2. Step 2: Convert to fraction form
    92,470.82/127,493.54 = 75,457.78/x
  3. Step 3: Cross multiply
    92,470.82x = 127,493.54 × 75,457.78
  4. Step 4: Simplify right side
    92,470.82x = 9,620,379,504.14
  5. Step 5: Solve for x
    x = 9,620,379,504.14/92,470.82
  6. Step 6: Final answer
    x = 104,036.93

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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.