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Finding the Fourth Proportional to 38,200.90, 52,837.05 and 33,784.90

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Solution

The fourth proportional to 38,200.90, 52,837.05 and 33,784.90 is: 46,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.90 : 52,837.05 = 33,784.90 : x
  2. Step 2: Convert to fraction form
    38,200.90/52,837.05 = 33,784.90/x
  3. Step 3: Cross multiply
    38,200.90x = 52,837.05 × 33,784.90
  4. Step 4: Simplify right side
    38,200.90x = 1,785,094,450.55
  5. Step 5: Solve for x
    x = 1,785,094,450.55/38,200.90
  6. Step 6: Final answer
    x = 46,729.12

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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.