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Finding the Fourth Proportional to 92,109.86, 127,079.78 and 51,817.22

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Solution

The fourth proportional to 92,109.86, 127,079.78 and 51,817.22 is: 71,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,109.86 : 127,079.78 = 51,817.22 : x
  2. Step 2: Convert to fraction form
    92,109.86/127,079.78 = 51,817.22/x
  3. Step 3: Cross multiply
    92,109.86x = 127,079.78 × 51,817.22
  4. Step 4: Simplify right side
    92,109.86x = 6,584,920,917.81
  5. Step 5: Solve for x
    x = 6,584,920,917.81/92,109.86
  6. Step 6: Final answer
    x = 71,489.86

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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.