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Finding the Fourth Proportional to 92,200.71, 138,213.57 and 33,005.91

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Solution

The fourth proportional to 92,200.71, 138,213.57 and 33,005.91 is: 49,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,200.71 : 138,213.57 = 33,005.91 : x
  2. Step 2: Convert to fraction form
    92,200.71/138,213.57 = 33,005.91/x
  3. Step 3: Cross multiply
    92,200.71x = 138,213.57 × 33,005.91
  4. Step 4: Simplify right side
    92,200.71x = 4,561,864,652.20
  5. Step 5: Solve for x
    x = 4,561,864,652.20/92,200.71
  6. Step 6: Final answer
    x = 49,477.54

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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.