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Finding the Fourth Proportional to 38,702.50, 53,414.49 and 22,788.42

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Solution

The fourth proportional to 38,702.50, 53,414.49 and 22,788.42 is: 31,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.50 : 53,414.49 = 22,788.42 : x
  2. Step 2: Convert to fraction form
    38,702.50/53,414.49 = 22,788.42/x
  3. Step 3: Cross multiply
    38,702.50x = 53,414.49 × 22,788.42
  4. Step 4: Simplify right side
    38,702.50x = 1,217,231,832.21
  5. Step 5: Solve for x
    x = 1,217,231,832.21/38,702.50
  6. Step 6: Final answer
    x = 31,450.99

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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.