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Finding the Fourth Proportional to 92,113.42, 138,170.16 and 32,945.55

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Solution

The fourth proportional to 92,113.42, 138,170.16 and 32,945.55 is: 49,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,113.42 : 138,170.16 = 32,945.55 : x
  2. Step 2: Convert to fraction form
    92,113.42/138,170.16 = 32,945.55/x
  3. Step 3: Cross multiply
    92,113.42x = 138,170.16 × 32,945.55
  4. Step 4: Simplify right side
    92,113.42x = 4,552,091,914.79
  5. Step 5: Solve for x
    x = 4,552,091,914.79/92,113.42
  6. Step 6: Final answer
    x = 49,418.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.