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Finding the Fourth Proportional to 38,403, 52,993.80 and 24,766.92

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Solution

The fourth proportional to 38,403, 52,993.80 and 24,766.92 is: 34,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403 : 52,993.80 = 24,766.92 : x
  2. Step 2: Convert to fraction form
    38,403/52,993.80 = 24,766.92/x
  3. Step 3: Cross multiply
    38,403x = 52,993.80 × 24,766.92
  4. Step 4: Simplify right side
    38,403x = 1,312,493,205.10
  5. Step 5: Solve for x
    x = 1,312,493,205.10/38,403
  6. Step 6: Final answer
    x = 34,176.84

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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.