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Finding the Fourth Proportional to 92,119.29, 127,127.10 and 51,834.48

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Solution

The fourth proportional to 92,119.29, 127,127.10 and 51,834.48 is: 71,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119.29 : 127,127.10 = 51,834.48 : x
  2. Step 2: Convert to fraction form
    92,119.29/127,127.10 = 51,834.48/x
  3. Step 3: Cross multiply
    92,119.29x = 127,127.10 × 51,834.48
  4. Step 4: Simplify right side
    92,119.29x = 6,589,567,122.41
  5. Step 5: Solve for x
    x = 6,589,567,122.41/92,119.29
  6. Step 6: Final answer
    x = 71,532.98

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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.