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Finding the Fourth Proportional to 92,112.12, 127,114.92 and 54,388.80

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Solution

The fourth proportional to 92,112.12, 127,114.92 and 54,388.80 is: 75,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,112.12 : 127,114.92 = 54,388.80 : x
  2. Step 2: Convert to fraction form
    92,112.12/127,114.92 = 54,388.80/x
  3. Step 3: Cross multiply
    92,112.12x = 127,114.92 × 54,388.80
  4. Step 4: Simplify right side
    92,112.12x = 6,913,627,960.90
  5. Step 5: Solve for x
    x = 6,913,627,960.90/92,112.12
  6. Step 6: Final answer
    x = 75,056.66

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1.5x scale

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.